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Popular >

|4x-9|<= 16

Solution

∣ 4 x - 9 ∣ \leq 16

Solution

- \frac{7}{4} \leq x \leq \frac{25}{4}

+2

Interval Notation

[- \frac{7}{4}, \frac{25}{4}]

Decimal Notation

- 1.75 \leq x \leq 6.25

Solution steps

∣ 4 x - 9 ∣ \leq 16

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 16 \leq 4 x - 9 \leq 16

4 x - 9 \geq - 16 and 4 x - 9 \leq 16

x \geq - \frac{7}{4} and x \leq \frac{25}{4}

Merge Overlapping Intervals

- \frac{7}{4} \leq x \leq \frac{25}{4}

Popular Examples

simplify (-2)/3+2 simplify

\frac{- 2}{3} + 2

simplify 15*3 simplify

15 \cdot 3

factor 9k^2+66k+21 factor

9 k^{2} + 66 k + 21

simplify 1/2*2/5 simplify

\frac{1}{2} \cdot \frac{2}{5}

(6-x)/4 <= (3x-4)/2

\frac{6 - x}{4} \leq \frac{3 x - 4}{2}

Frequently Asked Questions (FAQ)

What is |4x-9|<= 16 ?
The solution to |4x-9|<= 16 is -7/4 <= x<= 25/4