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Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
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Trigonometry
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Solve for x
x\in (-2,2)\cup [10,\infty)
x
∈
(
−
2
,
2
)
∪
[
1
0
,
∞
)
Graph
Graph Inequality
Graph Both Sides in 2D
Quiz
Algebra
5 problems similar to:
\frac { 6 - x } { x - 2 } \leq \frac { 4 - x } { x + 2 }
x
−
2
6
−
x
≤
x
+
2
4
−
x
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Similar Problems from Web Search
How do you solve \displaystyle-{\frac{{{x}}}{{{6}}}}+{\frac{{{22}}}{{{6}}}}\leq-{\frac{{{6}{x}}}{{{3}}}} ?
How do you solve
−
6
x
+
6
2
2
≤
−
3
6
x
?
https://socratic.org/questions/how-do-you-solve-frac-x-6-frac-22-6-leq-frac-6x-3
\displaystyle{x}\le-{2} Explanation: \displaystyle\text{multiply ALL terms on both sides of the inequality by the} \displaystyle\text{lowest common multiple }\ \text{of 6 and 3} \displaystyle\text{the lowest common multiple of 6 and 3 is }\ {6} ...
x
≤
−
2
Explanation:
multiply ALL terms on both sides of the inequality by the
lowest common multiple
of 6 and 3
the lowest common multiple of 6 and 3 is
6
...
Solving the inequality \frac{x}{x+1} - \frac{1}{x-3} - 2 \leq 0
Solving the inequality
x
+
1
x
−
x
−
3
1
−
2
≤
0
https://math.stackexchange.com/questions/2366556/solving-the-inequality-fracxx1-frac1x-3-2-leq-0
\newcommand{\bbx}[1]{\,\bbox[15px,border:1px groove navy]{\displaystyle{#1}}\,} \newcommand{\braces}[1]{\left\lbrace\,{#1}\,\right\rbrace} \newcommand{\bracks}[1]{\left\lbrack\,{#1}\,\right\rbrack} \newcommand{\dd}{\mathrm{d}} \newcommand{\ds}[1]{\displaystyle{#1}} \newcommand{\expo}[1]{\,\mathrm{e}^{#1}\,} \newcommand{\ic}{\mathrm{i}} \newcommand{\mc}[1]{\mathcal{#1}} \newcommand{\mrm}[1]{\mathrm{#1}} \newcommand{\pars}[1]{\left(\,{#1}\,\right)} \newcommand{\partiald}[3][]{\frac{\partial^{#1} #2}{\partial #3^{#1}}} \newcommand{\root}[2][]{\,\sqrt[#1]{\,{#2}\,}\,} \newcommand{\totald}[3][]{\frac{\mathrm{d}^{#1} #2}{\mathrm{d} #3^{#1}}} \newcommand{\verts}[1]{\left\vert\,{#1}\,\right\vert} ...
...
How do you solve \displaystyle\frac{{x}}{{{x}-{3}}}\le-\frac{{8}}{{{x}-{6}}} using a sign chart?
How do you solve
x
−
3
x
≤
−
x
−
6
8
using a sign chart?
https://socratic.org/questions/how-do-you-solve-x-x-3-8-x-6-using-a-sign-chart
The solution is \displaystyle{x}\in{\left[-{6},{3}{\left[\cup{\left[{4},{6}{[}\right.}\right.}\right.} Explanation: We cannot do crossing over \displaystyle\frac{{x}}{{{x}-{3}}}\le-\frac{{8}}{{{x}-{6}}} ...
The solution is
x
∈
[
−
6
,
3
[
∪
[
4
,
6
[
Explanation: We cannot do crossing over
x
−
3
x
≤
−
x
−
6
8
...
How do you solve \displaystyle{\frac{{{2}{x}-{1}}}{{{x}+{2}}}}-{\frac{{{1}}}{{{x}}}}\leq{1} ?
How do you solve
x
+
2
2
x
−
1
−
x
1
≤
1
?
https://socratic.org/questions/how-do-you-solve-frac-2x-1-x-2-frac-1-x-leq-1
\displaystyle{x}:{\left(-{2},{2}-\sqrt{{{6}}}\right]}\cup{\left({0},{2}+\sqrt{{{6}}}\right]} Explanation: \displaystyle\frac{{{2}{x}-{1}}}{{{x}+{2}}}-\frac{{1}}{{x}}\le{1} \displaystyle\frac{{x}}{{x}}\cdot\frac{{{2}{x}-{1}}}{{{x}+{2}}}-\frac{{{x}+{2}}}{{{x}+{2}}}\cdot\frac{{1}}{{x}}\le{1} ...
x
:
(
−
2
,
2
−
6
]
∪
(
0
,
2
+
6
]
Explanation:
x
+
2
2
x
−
1
−
x
1
≤
1
x
x
⋅
x
+
2
2
x
−
1
−
x
+
2
x
+
2
⋅
x
1
≤
1
...
How do you solve \displaystyle-\frac{{3}}{{{x}+{7}}}\le-\frac{{4}}{{{x}+{8}}} ?
How do you solve
−
x
+
7
3
≤
−
x
+
8
4
?
https://socratic.org/questions/how-do-you-solve-3-x-7-4-x-8
The solution is \displaystyle{x}\in{\left(-\infty,-{8}\right)}\cup{\left(-{7},-{4}\right]} Explanation: We cannot do crossing over \displaystyle-\frac{{3}}{{{x}+{7}}}\le-\frac{{4}}{{{x}+{8}}} ...
The solution is
x
∈
(
−
∞
,
−
8
)
∪
(
−
7
,
−
4
]
Explanation: We cannot do crossing over
−
x
+
7
3
≤
−
x
+
8
4
...
How do you solve \displaystyle-\frac{{7}}{{{x}+{5}}}\le-\frac{{8}}{{{x}+{6}}} ?
How do you solve
−
x
+
5
7
≤
−
x
+
6
8
?
https://socratic.org/questions/how-do-you-solve-7-x-5-8-x-6
\displaystyle{\left\lbrace{x}{<}-{6}\right\rbrace}\cup{\left\lbrace-{5}{<}{x}\le{2}\right\rbrace} Explanation: \displaystyle-\frac{{7}}{{{x}+{5}}}\le-\frac{{8}}{{{x}+{6}}} Let's multiply ...
{
x
<
−
6
}
∪
{
−
5
<
x
≤
2
}
Explanation:
−
x
+
5
7
≤
−
x
+
6
8
Let's multiply ...
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Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
x
2
−
4
x
−
5
=
0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
4
sin
θ
cos
θ
=
2
sin
θ
Linear equation
y = 3x + 4
y
=
3
x
+
4
Arithmetic
699 * 533
6
9
9
∗
5
3
3
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
[
2
5
3
4
]
[
2
−
1
0
1
3
5
]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
{
8
x
+
2
y
=
4
6
7
x
+
3
y
=
4
7
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
d
x
d
(
x
−
5
)
(
3
x
2
−
2
)
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
∫
0
1
x
e
−
x
2
d
x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
x
→
−
3
lim
x
2
+
2
x
−
3
x
2
−
9
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