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Popular >

|2x-3|-7>= 0

Solution

∣ 2 x - 3 ∣ - 7 \geq 0

Solution

x \leq - 2 or x \geq 5

+1

Interval Notation

(- \infty, - 2] \cup [5, \infty)

Solution steps

∣ 2 x - 3 ∣ - 7 \geq 0

Move

7

to the right side

∣ 2 x - 3 ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x - 3 \leq - 7 or 2 x - 3 \geq 7

2 x - 3 \leq - 7 or 2 x - 3 \geq 7

x \leq - 2 or x \geq 5

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\frac{r ^{7} n ^{7} t ^{2}}{n ^{3} r ^{3} t ^{2}}

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3 x^{3} - 2 x^{2} - 9 x + 6

simplify 45*5 simplify

45 \cdot 5

2 x^{2} + 12 x = - 18

Frequently Asked Questions (FAQ)

What is |2x-3|-7>= 0 ?
The solution to |2x-3|-7>= 0 is x<=-2\lor x>= 5