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Popular >

8+|4x-7|>= 17

Solution

8 + ∣ 4 x - 7 ∣ \geq 17

Solution

x \leq - \frac{1}{2} or x \geq 4

+2

Interval Notation

(- \infty, - \frac{1}{2}] \cup [4, \infty)

Decimal Notation

x \leq - 0.5 or x \geq 4

Solution steps

8 + ∣ 4 x - 7 ∣ \geq 17

Move

8

to the right side

∣ 4 x - 7 ∣ \geq 9

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 x - 7 \leq - 9 or 4 x - 7 \geq 9

4 x - 7 \leq - 9 or 4 x - 7 \geq 9

x \leq - \frac{1}{2} or x \geq 4

Popular Examples

∣ x - 2 ∣ > 10

simplify 1/2 i(1/3-18i)simplify

\frac{1}{2} i (\frac{1}{3} - 18 i)

∣ 3 (x + 2) ∣ > 9

factor 4x+16 factor

4 x + 16

simplify (-2i)^2 simplify

(- 2 i)^{2}

Frequently Asked Questions (FAQ)

What is 8+|4x-7|>= 17 ?
The solution to 8+|4x-7|>= 17 is x<=-1/2 \lor x>= 4