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Popular >

-|7-2x|-3<-8

Solution

- ∣ 7 - 2 x ∣ - 3 < - 8

Solution

x < 1 or x > 6

+1

Interval Notation

(- \infty, 1) \cup (6, \infty)

Solution steps

- ∣ 7 - 2 x ∣ - 3 < - 8

Move

3

to the right side

- ∣ 7 - 2 x ∣ < - 5

Multiply both sides by

- 1

∣ 7 - 2 x ∣ > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

7 - 2 x < - 5 or 7 - 2 x > 5

7 - 2 x < - 5 or 7 - 2 x > 5

x < 1 or x > 6

Popular Examples

factor 1-9(1-m)^2 factor

1 - 9 (1 - m)^{2}

f(k)=(-20k^4-26k^3)/(12k^4+8k^3)

f (k) = \frac{- 20 k ^{4} - 26 k ^{3}}{12 k ^{4} + 8 k ^{3}}

f = 2^{2} + 1

factor 4d^2-4d-35 factor

4 d^{2} - 4 d - 35

factor 16x+4x^2 factor

16 x + 4 x^{2}

Frequently Asked Questions (FAQ)

What is -|7-2x|-3<-8 ?
The solution to -|7-2x|-3<-8 is x<1\lor x>6