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Popular >

|-4x+5|-9>=-1

Solution

∣ - 4 x + 5 ∣ - 9 \geq - 1

Solution

x \leq - \frac{3}{4} or x \geq \frac{13}{4}

+2

Interval Notation

(- \infty, - \frac{3}{4}] \cup [\frac{13}{4}, \infty)

Decimal Notation

x \leq - 0.75 or x \geq 3.25

Solution steps

∣ - 4 x + 5 ∣ - 9 \geq - 1

Move

9

to the right side

∣ - 4 x + 5 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

- 4 x + 5 \leq - 8 or - 4 x + 5 \geq 8

- 4 x + 5 \leq - 8 or - 4 x + 5 \geq 8

x \leq - \frac{3}{4} or x \geq \frac{13}{4}

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Frequently Asked Questions (FAQ)

What is |-4x+5|-9>=-1 ?
The solution to |-4x+5|-9>=-1 is x<=-3/4 \lor x>= 13/4