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Popular >

|7x-5|+1>= 9

Solution

∣ 7 x - 5 ∣ + 1 \geq 9

Solution

x \leq - \frac{3}{7} or x \geq \frac{13}{7}

+2

Interval Notation

(- \infty, - \frac{3}{7}] \cup [\frac{13}{7}, \infty)

Decimal Notation

x \leq - 0.42857 \dots or x \geq 1.85714 \dots

Solution steps

∣ 7 x - 5 ∣ + 1 \geq 9

Move

1

to the right side

∣ 7 x - 5 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

7 x - 5 \leq - 8 or 7 x - 5 \geq 8

7 x - 5 \leq - 8 or 7 x - 5 \geq 8

x \leq - \frac{3}{7} or x \geq \frac{13}{7}

Popular Examples

0.002 n + 15 = 2

simplify pi/5*(180)/pi simplify

\frac{π}{5} \cdot \frac{180}{π}

simplify (-24/25)/(-7/25)simplify

\frac{- \frac{24}{25}}{- \frac{7}{25}}

5 x^{2} = 13 x + 6

-9x(10-2x)=-3x^2

- 9 x (10 - 2 x) = - 3 x^{2}

Frequently Asked Questions (FAQ)

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