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Popular >

|4-3x|<= 13

Solution

∣ 4 - 3 x ∣ \leq 13

Solution

- 3 \leq x \leq \frac{17}{3}

+2

Solution steps

∣ 4 - 3 x ∣ \leq 13

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 13 \leq 4 - 3 x \leq 13

4 - 3 x \geq - 13 and 4 - 3 x \leq 13

x \leq \frac{17}{3} and x \geq - 3

Merge Overlapping Intervals

- 3 \leq x \leq \frac{17}{3}

Popular Examples

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0.698=0.0003x-0.0138

0.698 = 0.0003 x - 0.0138

Frequently Asked Questions (FAQ)

What is |4-3x|<= 13 ?
The solution to |4-3x|<= 13 is -3<= x<= 17/3