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Popular >

|5-8/9 x|>= 3/7

Solution

5 - \frac{8}{9} x \geq \frac{3}{7}

Solution

x \leq \frac{36}{7} or x \geq \frac{171}{28}

+2

Interval Notation

(- \infty, \frac{36}{7}] \cup [\frac{171}{28}, \infty)

Decimal Notation

x \leq 5.14285 \dots or x \geq 6.10714 \dots

Solution steps

5 - \frac{8}{9} x \geq \frac{3}{7}

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 - \frac{8}{9} x \leq - \frac{3}{7} or 5 - \frac{8}{9} x \geq \frac{3}{7}

5 - \frac{8}{9} x \leq - \frac{3}{7} or 5 - \frac{8}{9} x \geq \frac{3}{7}

x \leq \frac{36}{7} or x \geq \frac{171}{28}

Popular Examples

9 x^{2} + 7 x = 0

5 x - 27 = 8

simplify 1/2 (456.953-428.259)*10^3*1.5 simplify

\frac{1}{2} (456.953 - 428.259) \cdot 1 0^{3} \cdot 1.5

4 a + 5 = 2 + 3.25 a

simplify log_{8}(3x)simplify

lo g_{8} (3 x)

Frequently Asked Questions (FAQ)

What is |5-8/9 x|>= 3/7 ?
The solution to |5-8/9 x|>= 3/7 is x<= 36/7 \lor x>= 171/28