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Popular >

|3x-7|<= 8

Solution

∣ 3 x - 7 ∣ \leq 8

Solution

- \frac{1}{3} \leq x \leq 5

+2

Interval Notation

[- \frac{1}{3}, 5]

Decimal Notation

- 0.33333 \dots \leq x \leq 5

Solution steps

∣ 3 x - 7 ∣ \leq 8

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 8 \leq 3 x - 7 \leq 8

3 x - 7 \geq - 8 and 3 x - 7 \leq 8

x \geq - \frac{1}{3} and x \leq 5

Merge Overlapping Intervals

- \frac{1}{3} \leq x \leq 5

Popular Examples

factor 3x^2-16x-12 factor

3 x^{2} - 16 x - 12

simplify (-1)/(-3)simplify

\frac{- 1}{- 3}

factor k^2-18k+81 factor

k^{2} - 18 k + 81

simplify 2/5*1/4 simplify

\frac{2}{5} \cdot \frac{1}{4}

x^{2} + 5 x > - 4

Frequently Asked Questions (FAQ)

What is |3x-7|<= 8 ?
The solution to |3x-7|<= 8 is -1/3 <= x<= 5