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Popular >

|4x-5|<= 12

Solution

∣ 4 x - 5 ∣ \leq 12

Solution

- \frac{7}{4} \leq x \leq \frac{17}{4}

+2

Interval Notation

[- \frac{7}{4}, \frac{17}{4}]

Decimal Notation

- 1.75 \leq x \leq 4.25

Solution steps

∣ 4 x - 5 ∣ \leq 12

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 12 \leq 4 x - 5 \leq 12

4 x - 5 \geq - 12 and 4 x - 5 \leq 12

x \geq - \frac{7}{4} and x \leq \frac{17}{4}

Merge Overlapping Intervals

- \frac{7}{4} \leq x \leq \frac{17}{4}

Popular Examples

\frac{1}{2} x = 32

simplify (1.6*10^{-19})(375)(3.2 1/100)simplify

(1.6 \cdot 1 0^{- 19}) (375) (3.2 \frac{1}{100})

9 x^{2} \leq 24 x - 16

|x+1|+|x-2|<= 4

∣ x + 1 ∣ + ∣ x - 2 ∣ \leq 4

simplify (2018^{2018})/(20)simplify

\frac{201 8 ^{2018}}{20}

Frequently Asked Questions (FAQ)

What is |4x-5|<= 12 ?
The solution to |4x-5|<= 12 is -7/4 <= x<= 17/4