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Popular >

|7x-5|+2>= 9

Solution

∣ 7 x - 5 ∣ + 2 \geq 9

Solution

x \leq - \frac{2}{7} or x \geq \frac{12}{7}

+2

Interval Notation

(- \infty, - \frac{2}{7}] \cup [\frac{12}{7}, \infty)

Decimal Notation

x \leq - 0.28571 \dots or x \geq 1.71428 \dots

Solution steps

∣ 7 x - 5 ∣ + 2 \geq 9

Move

2

to the right side

∣ 7 x - 5 ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - \frac{2}{7} or x \geq \frac{12}{7}

Popular Examples

15h-2h-7h-6h+2h+1=13

15 h - 2 h - 7 h - 6 h + 2 h + 1 = 13

simplify (3^5)/5 simplify

\frac{3 ^{5}}{5}

(x+4)/(x+5)<(x-1)/(x-4)

\frac{x + 4}{x + 5} < \frac{x - 1}{x - 4}

10 + 4 ∣ 7 + 3 x ∣ = 26

factor x^3+x factor

x^{3} + x

Frequently Asked Questions (FAQ)

What is |7x-5|+2>= 9 ?
The solution to |7x-5|+2>= 9 is x<=-2/7 \lor x>= 12/7