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Popular >

|-4x-3|<= 8

Solution

∣ - 4 x - 3 ∣ \leq 8

Solution

- \frac{11}{4} \leq x \leq \frac{5}{4}

+2

Interval Notation

[- \frac{11}{4}, \frac{5}{4}]

Decimal Notation

- 2.75 \leq x \leq 1.25

Solution steps

∣ - 4 x - 3 ∣ \leq 8

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 8 \leq - 4 x - 3 \leq 8

- 4 x - 3 \geq - 8 and - 4 x - 3 \leq 8

x \leq \frac{5}{4} and x \geq - \frac{11}{4}

Merge Overlapping Intervals

- \frac{11}{4} \leq x \leq \frac{5}{4}

Popular Examples

factor-x^3+5x^2-7x+3 factor

- x^{3} + 5 x^{2} - 7 x + 3

simplify (5^{2/3}*2^{3/2})^{1/2}simplify

(5^{\frac{2}{3}} \cdot 2^{\frac{3}{2}})^{\frac{1}{2}}

- 2 x + 7 x > 20

simplify 20*4 simplify

20 \cdot 4

simplify sqrt(6^2+3^2)simplify

6^{2} + 3^{2}

Frequently Asked Questions (FAQ)

What is |-4x-3|<= 8 ?
The solution to |-4x-3|<= 8 is -11/4 <= x<= 5/4