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Popular >

|2x-7|<= 15

Solution

∣ 2 x - 7 ∣ \leq 15

Solution

- 4 \leq x \leq 11

+1

Interval Notation

[- 4, 11]

Solution steps

∣ 2 x - 7 ∣ \leq 15

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 15 \leq 2 x - 7 \leq 15

2 x - 7 \geq - 15 and 2 x - 7 \leq 15

x \geq - 4 and x \leq 11

Merge Overlapping Intervals

- 4 \leq x \leq 11

Popular Examples

x^{2} - 8 x = 5

simplify (5pi)/3 simplify

\frac{5 π}{3}

- 8 x < 8

factor 35s^2+21s-14 factor

35 s^{2} + 21 s - 14

simplify ((3/((x+h)^2)-3/(x^2)))/h simplify

\frac{( \frac{3}{( x + h ) ^{2}} - \frac{3}{x ^{2}} )}{h}

Frequently Asked Questions (FAQ)

What is |2x-7|<= 15 ?
The solution to |2x-7|<= 15 is -4<= x<= 11