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Popular >

9>= |-9-4x|

Solution

9 \geq ∣ - 9 - 4 x ∣

Solution

- \frac{9}{2} \leq x \leq 0

+2

Interval Notation

[- \frac{9}{2}, 0]

Decimal Notation

- 4.5 \leq x \leq 0

Solution steps

9 \geq ∣ - 9 - 4 x ∣

Switch sides

∣ - 9 - 4 x ∣ \leq 9

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 9 \leq - 9 - 4 x \leq 9

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

x \leq 0 and x \geq - \frac{9}{2}

Merge Overlapping Intervals

- \frac{9}{2} \leq x \leq 0

Popular Examples

(7x+2)/3-(5x-4)/9 =10

\frac{7 x + 2}{3} - \frac{5 x - 4}{9} = 10

simplify \sqrt[5]{160}simplify

factor 25s^2-16 factor

25 s^{2} - 16

simplify sqrt(14)*sqrt(2)simplify

14 \cdot 2

∣ 7 x - 5 ∣ + 5 = 9

Frequently Asked Questions (FAQ)

What is 9>= |-9-4x| ?
The solution to 9>= |-9-4x| is -9/2 <= x<= 0