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10 ∣ x - 3 ∣ > 40

Atasi untuk x

x \in (- \infty, - 1) \cup (7, \infty)

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5 soal serupa dengan:

10 ∣ x - 3 ∣ > 40

Soal yang Mirip dari Pencarian Web

How do you solve

∣ 2 x - 3 ∣ = x + 5

and find any extraneous solutions?

https://socratic.org/questions/how-do-you-solve-2x-3-x-5-and-find-any-extraneous-solutions

x = 8

x = - \frac{2}{3}

(neither solution is extraneous) Explanation: Consider the two possibilities for

2 x - 3

if 2 x - 3 \geq 0 ∣ 2 x - 3 ∣ = x + 5 \to 2 x - 3 = x + 5 \to x = 8 (xxx) if 2 x - 3 < 0 ∣ 2 x - 3 ∣ = x + 5 \to 3 - 2 x = x + 5 \to - 2 = 3 x \to x = - \frac{2}{3}

How do you solve

∣ 2 x - 3 ∣ \leq 4

https://socratic.org/questions/how-do-you-solve-abs-2x-3-4

KillerBunny Feb 4, 2015 First of all, you have to determine the absolute value. Since

∣ a ∣ = a

a > 0

- a

a < 0

How do you solve

∣ x - 3 ∣ + 1 = 3

https://socratic.org/questions/how-do-you-solve-x-3-1-3

x = 5

x = 1

Explanation: First, isolate the absolute value term on the left side of the equation:

∣ x - 3 ∣ + 1 - 1 = 3 - 1

How do you solve

∣ x - 3 ∣ - 6 = 2

https://socratic.org/questions/how-do-you-solve-abs-x-3-6-2

See a solution process below: Explanation: First, add

(6)

to each side of the equation to isolate the absolute value function while keeping the equation balanced:

∣ x - 3 ∣ - 6 + (6) = 2 + (6)

How do you graph and solve

∣ x - 4 ∣ - 5 < 1

https://socratic.org/questions/how-do-you-graph-and-solve-x-4-5-1

Mark the ends of the closed interval

[- 2, 10]

. The segment in-between (sans the ends) is the graph for the inequality that is equivalent to

x > - 2 and x < 10

How do you solve and graph

- 0.1 \leq 3.4 x - 1.8 < 6.7

https://socratic.org/questions/how-do-you-solve-and-graph-0-1-3-4x-1-8-6-7

Douglas K. Aug 8, 2017 Given:

- 0.1 \leq 3.4 x - 1.8 < 6.7

Add 1.8 to everything:

1.7 \leq 3.4 x < 8.5

Divide everything by 3.4:

\frac{1 . 7}{3 . 4} \leq x < \frac{8 . 5}{3 . 4}

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