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Popular >

2|5-2x|-3<= 15

Solution

2 ∣ 5 - 2 x ∣ - 3 \leq 15

Solution

- 2 \leq x \leq 7

+1

Interval Notation

[- 2, 7]

Solution steps

2 ∣ 5 - 2 x ∣ - 3 \leq 15

Move

3

to the right side

2 ∣ 5 - 2 x ∣ \leq 18

Divide both sides by

2

∣ 5 - 2 x ∣ \leq 9

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 9 \leq 5 - 2 x \leq 9

5 - 2 x \geq - 9 and 5 - 2 x \leq 9

x \leq 7 and x \geq - 2

Merge Overlapping Intervals

- 2 \leq x \leq 7

Popular Examples

x^{2} - 15 x + 54 = 0

simplify 1^{-1/2}simplify

1^{- \frac{1}{2}}

2 - 2 - x = 2 x - 1

x^{2} - 12 x + 111 = 0

simplify (9^7)/(9^9)simplify

\frac{9 ^{7}}{9 ^{9}}

Frequently Asked Questions (FAQ)

What is 2|5-2x|-3<= 15 ?
The solution to 2|5-2x|-3<= 15 is -2<= x<= 7