Solve x-2/6geqx-1/9+7/18 | Microsoft Math Solver

Type a math problem

Solve for x

x \geq 11

Solution Steps

\frac{x - 2}{6} \geq \frac{x - 1}{9} + \frac{7}{1 8}

Multiply both sides of the equation by

18

, the least common multiple of

6, 9, 18

. Since

18

> 0

, the inequality direction remains the same.

3 (x - 2) \geq 2 (x - 1) + 7

Use the distributive property to multiply

3

x - 2

3 x - 6 \geq 2 (x - 1) + 7

Use the distributive property to multiply

2

x - 1

3 x - 6 \geq 2 x - 2 + 7

Add

- 2

and

7

to get

5

3 x - 6 \geq 2 x + 5

Subtract

2 x

from both sides.

3 x - 6 - 2 x \geq 5

Combine

3 x

and

- 2 x

to get

x

x - 6 \geq 5

Add

6

to both sides.

x \geq 5 + 6

Add

5

and

6

to get

11

x \geq 11

Graph

Graph Inequality

Graph Both Sides in 2D

Quiz

Algebra

10 problems similar to:

\frac{x - 2}{6} \geq \frac{x - 1}{9} + \frac{7}{1 8}

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3\left(x-2\right)\geq 2\left(x-1\right)+7

Multiply both sides of the equation by 18, the least common multiple of 6,9,18. Since 18 is >0, the inequality direction remains the same.

3x-6\geq 2\left(x-1\right)+7

Use the distributive property to multiply 3 by x-2.

3x-6\geq 2x-2+7

Use the distributive property to multiply 2 by x-1.

3x-6\geq 2x+5

Add -2 and 7 to get 5.

3x-6-2x\geq 5

Subtract 2x from both sides.

x-6\geq 5

Combine 3x and -2x to get x.

x\geq 5+6

Add 6 to both sides.

x\geq 11

Add 5 and 6 to get 11.

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\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

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x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}

Topics

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