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Popular >

|4x-5|<= 8

Solution

∣ 4 x - 5 ∣ \leq 8

Solution

- \frac{3}{4} \leq x \leq \frac{13}{4}

+2

Interval Notation

[- \frac{3}{4}, \frac{13}{4}]

Decimal Notation

- 0.75 \leq x \leq 3.25

Solution steps

∣ 4 x - 5 ∣ \leq 8

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 8 \leq 4 x - 5 \leq 8

4 x - 5 \geq - 8 and 4 x - 5 \leq 8

x \geq - \frac{3}{4} and x \leq \frac{13}{4}

Merge Overlapping Intervals

- \frac{3}{4} \leq x \leq \frac{13}{4}

Popular Examples

simplify log_{4}(6)+2log_{4}(9)simplify

lo g_{4} (6) + 2 lo g_{4} (9)

simplify (1+(0.06)/(365))^{365}-1 simplify

(1 + \frac{0.06}{365})^{365} - 1

3 b^{2} + 4 b + 8 = 0

∣ x - 2 ∣ \geq 1

v + 2 \geq 6

Frequently Asked Questions (FAQ)

What is |4x-5|<= 8 ?
The solution to |4x-5|<= 8 is -3/4 <= x<= 13/4