What is -3|2x-5|>=-21 ?

The solution to -3|2x-5|>=-21 is -1<= x<= 6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-3|2x-5|>=-21

- 3 ∣ 2 x - 5 ∣ \geq - 21

- 1 \leq x \leq 6

Interval Notation

[- 1, 6]

Solution steps

- 3 ∣ 2 x - 5 ∣ \geq - 21

Multiply both sides by

- 1

3 ∣ 2 x - 5 ∣ \leq 21

Divide both sides by

3

∣ 2 x - 5 ∣ \leq 7

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 7 \leq 2 x - 5 \leq 7

2 x - 5 \geq - 7 and 2 x - 5 \leq 7

x \geq - 1 and x \leq 6

Merge Overlapping Intervals

- 1 \leq x \leq 6

x^{2} - x + 1 = 2 x^{2} - 3 x - 62

x^{2} + 4 x + 16 < 0

∣ 16 x ∣ \leq 8

- \frac{32}{4}

2 am - 3 b - c - c m - 3 bm + 2 a