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Popular >

|5x-4|+2>= 9

Solution

∣ 5 x - 4 ∣ + 2 \geq 9

Solution

x \leq - \frac{3}{5} or x \geq \frac{11}{5}

+2

Interval Notation

(- \infty, - \frac{3}{5}] \cup [\frac{11}{5}, \infty)

Decimal Notation

x \leq - 0.6 or x \geq 2.2

Solution steps

∣ 5 x - 4 ∣ + 2 \geq 9

Move

2

to the right side

∣ 5 x - 4 ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 x - 4 \leq - 7 or 5 x - 4 \geq 7

5 x - 4 \leq - 7 or 5 x - 4 \geq 7

x \leq - \frac{3}{5} or x \geq \frac{11}{5}

Popular Examples

simplify-(1(2(-1)+1))/(-1(-1+2(1)))simplify

- \frac{1 ( 2 ( - 1 ) + 1 )}{- 1 ( - 1 + 2 ( 1 ) )}

26 = 7 (g - 9) + 12

16 x^{2} + 72 x + 81 = 0

x^{2} - 6 x + 9 = 0

x^{2} + 41 = 12 x + 4

Frequently Asked Questions (FAQ)

What is |5x-4|+2>= 9 ?
The solution to |5x-4|+2>= 9 is x<=-3/5 \lor x>= 11/5