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Popular >

|7x-2|+3>= 9

Solution

∣ 7 x - 2 ∣ + 3 \geq 9

Solution

x \leq - \frac{4}{7} or x \geq \frac{8}{7}

+2

Interval Notation

(- \infty, - \frac{4}{7}] \cup [\frac{8}{7}, \infty)

Decimal Notation

x \leq - 0.57142 \dots or x \geq 1.14285 \dots

Solution steps

∣ 7 x - 2 ∣ + 3 \geq 9

Move

3

to the right side

∣ 7 x - 2 ∣ \geq 6

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

7 x - 2 \leq - 6 or 7 x - 2 \geq 6

7 x - 2 \leq - 6 or 7 x - 2 \geq 6

x \leq - \frac{4}{7} or x \geq \frac{8}{7}

Popular Examples

∣ 5 x - 3 ∣ < \frac{1}{2}

4(3x-5)>5(2x+4)

4 (3 x - 5) > 5 (2 x + 4)

6 - x = - 5

6 x + 54 = 168

simplify pi/2-pi/(12)simplify

\frac{π}{2} - \frac{π}{12}

Frequently Asked Questions (FAQ)

What is |7x-2|+3>= 9 ?
The solution to |7x-2|+3>= 9 is x<=-4/7 \lor x>= 8/7