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Popular >

5-9|7x-1|<=-13

Solution

5 - 9 ∣ 7 x - 1 ∣ \leq - 13

Solution

x \leq - \frac{1}{7} or x \geq \frac{3}{7}

+2

Interval Notation

(- \infty, - \frac{1}{7}] \cup [\frac{3}{7}, \infty)

Decimal Notation

x \leq - 0.14285 \dots or x \geq 0.42857 \dots

Solution steps

5 - 9 ∣ 7 x - 1 ∣ \leq - 13

Move

5

to the right side

- 9 ∣ 7 x - 1 ∣ \leq - 18

Multiply both sides by

- 1

9 ∣ 7 x - 1 ∣ \geq 18

Divide both sides by

9

∣ 7 x - 1 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

7 x - 1 \leq - 2 or 7 x - 1 \geq 2

7 x - 1 \leq - 2 or 7 x - 1 \geq 2

x \leq - \frac{1}{7} or x \geq \frac{3}{7}

Popular Examples

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

simplify 2/5*2 simplify

\frac{2}{5} \cdot 2

simplify-4/3+1 simplify

- \frac{4}{3} + 1

p(-1)=2(-1)^3+4(-1)^2-3

p (- 1) = 2 (- 1)^{3} + 4 (- 1)^{2} - 3

factor a+a^2 factor

a + a^{2}

Frequently Asked Questions (FAQ)

What is 5-9|7x-1|<=-13 ?
The solution to 5-9|7x-1|<=-13 is x<=-1/7 \lor x>= 3/7