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Popular >

|4-3x|<= 13

Solution

∣ 4 - 3 x ∣ \leq 13

Solution

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

+2

Interval Notation

[- 3, \frac{17}{3}]

Decimal Notation

- 3 \leq x \leq 5.66666 \dots

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

2 A - 2 = 7 + 2 A

x^{2} - 3 x - 40 = 0

simplify ((2/5)^3(2/5)^2)/((2/5)^4)simplify

\frac{( \frac{2}{5} ) ^{3} ( \frac{2}{5} ) ^{2}}{( \frac{2}{5} ) ^{4}}

simplify-(-10)^2 simplify

- (- 10)^{2}

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