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Popular >

|2x+6|<= 24

Solution

∣ 2 x + 6 ∣ \leq 24

Solution

- 15 \leq x \leq 9

+1

Interval Notation

[- 15, 9]

Solution steps

∣ 2 x + 6 ∣ \leq 24

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 24 \leq 2 x + 6 \leq 24

2 x + 6 \geq - 24 and 2 x + 6 \leq 24

x \geq - 15 and x \leq 9

Merge Overlapping Intervals

- 15 \leq x \leq 9

Popular Examples

log_{3}(x-1)+log_{3}(2-3x)>2

lo g_{3} (x - 1) + lo g_{3} (2 - 3 x) > 2

0 = 3 t^{2} - 24 t + 36

-2(3w+6)-(4w-3)=21

- 2 (3 w + 6) - (4 w - 3) = 21

simplify 2/(n+8)+4/(n+1)simplify

\frac{2}{n + 8} + \frac{4}{n + 1}

factor 7ac-2bd+bc-14ad factor

7 a c - 2 b d + b c - 14 a d

Frequently Asked Questions (FAQ)

What is |2x+6|<= 24 ?
The solution to |2x+6|<= 24 is -15<= x<= 9