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Popular >

3|6+2x|<= 8

Solution

3 ∣ 6 + 2 x ∣ \leq 8

Solution

- \frac{13}{3} \leq x \leq - \frac{5}{3}

+2

Interval Notation

[- \frac{13}{3}, - \frac{5}{3}]

Decimal Notation

- 4.33333 \dots \leq x \leq - 1.66666 \dots

Solution steps

3 ∣ 6 + 2 x ∣ \leq 8

Divide both sides by

3

∣ 6 + 2 x ∣ \leq \frac{8}{3}

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- \frac{8}{3} \leq 6 + 2 x \leq \frac{8}{3}

6 + 2 x \geq - \frac{8}{3} and 6 + 2 x \leq \frac{8}{3}

x \geq - \frac{13}{3} and x \leq - \frac{5}{3}

Merge Overlapping Intervals

- \frac{13}{3} \leq x \leq - \frac{5}{3}

Popular Examples

factor 4x^2-13x+10 factor

4 x^{2} - 13 x + 10

96 e \frac{x}{2} = 2828

\frac{x}{x + 1} < 2

2 x + 4 = x + 1

factor x^2-17x+16 factor

x^{2} - 17 x + 16

Frequently Asked Questions (FAQ)

What is 3|6+2x|<= 8 ?
The solution to 3|6+2x|<= 8 is -13/3 <= x<=-5/3