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Popular >

|7x-5|+3>= 9

Solution

∣ 7 x - 5 ∣ + 3 \geq 9

Solution

x \leq - \frac{1}{7} or x \geq \frac{11}{7}

+2

Interval Notation

(- \infty, - \frac{1}{7}] \cup [\frac{11}{7}, \infty)

Decimal Notation

x \leq - 0.14285 \dots or x \geq 1.57142 \dots

Solution steps

∣ 7 x - 5 ∣ + 3 \geq 9

Move

3

to the right side

∣ 7 x - 5 ∣ \geq 6

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

7 x - 5 \leq - 6 or 7 x - 5 \geq 6

7 x - 5 \leq - 6 or 7 x - 5 \geq 6

x \leq - \frac{1}{7} or x \geq \frac{11}{7}

Popular Examples

x^2(x+2)(x-3)>0

x^{2} (x + 2) (x - 3) > 0

v = \frac{80}{5}

factor x^3+5x^2+4x factor

x^{3} + 5 x^{2} + 4 x

join 2pi-pi/2 join

2 π - \frac{π}{2}

- 3 x + 4 = - 2 x + 15

Frequently Asked Questions (FAQ)

What is |7x-5|+3>= 9 ?
The solution to |7x-5|+3>= 9 is x<=-1/7 \lor x>= 11/7