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Popular >

3|5+x|-1>= 23

Solution

3 ∣ 5 + x ∣ - 1 \geq 23

Solution

x \leq - 13 or x \geq 3

+1

Interval Notation

(- \infty, - 13] \cup [3, \infty)

Solution steps

3 ∣ 5 + x ∣ - 1 \geq 23

Move

1

to the right side

3 ∣ 5 + x ∣ \geq 24

Divide both sides by

3

∣ 5 + x ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - 13 or x \geq 3

Popular Examples

2(x-2)^2+8(x-2)-1=0

2 (x - 2)^{2} + 8 (x - 2) - 1 = 0

5 x - 6 = 2 x

simplify (11^{14})/(11^{18)}simplify

\frac{1 1 ^{14}}{1 1 ^{18}}

- 2 x^{2} \geq x - 1

- 3 x \geq 3

Frequently Asked Questions (FAQ)

What is 3|5+x|-1>= 23 ?
The solution to 3|5+x|-1>= 23 is x<=-13\lor x>= 3