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Popular >

|5x-3|+5>= 9

Solution

∣ 5 x - 3 ∣ + 5 \geq 9

Solution

x \leq - \frac{1}{5} or x \geq \frac{7}{5}

+2

Interval Notation

(- \infty, - \frac{1}{5}] \cup [\frac{7}{5}, \infty)

Decimal Notation

x \leq - 0.2 or x \geq 1.4

Solution steps

∣ 5 x - 3 ∣ + 5 \geq 9

Move

5

to the right side

∣ 5 x - 3 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 x - 3 \leq - 4 or 5 x - 3 \geq 4

5 x - 3 \leq - 4 or 5 x - 3 \geq 4

x \leq - \frac{1}{5} or x \geq \frac{7}{5}

Popular Examples

factor 2x^3-4x^2-38x+76 factor

2 x^{3} - 4 x^{2} - 38 x + 76

6 x^{2} + 66 x + 168 = 0

1 - \frac{2}{3} x = 5

(7 - x)^{2} = 0

5 (- 2 - 8 m) = 10 + 5 m

Frequently Asked Questions (FAQ)

What is |5x-3|+5>= 9 ?
The solution to |5x-3|+5>= 9 is x<=-1/5 \lor x>= 7/5