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Popular >

-5|a-2|>-10

Solution

- 5 ∣ a - 2 ∣ > - 10

Solution

0 < a < 4

+1

Interval Notation

(0, 4)

Solution steps

- 5 ∣ a - 2 ∣ > - 10

Multiply both sides by

- 1

5 ∣ a - 2 ∣ < 10

Divide both sides by

5

∣ a - 2 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < a - 2 < 2

a - 2 > - 2 and a - 2 < 2

a > 0 and a < 4

Merge Overlapping Intervals

0 < a < 4

Popular Examples

0 = - 3.72 (t) + 19

factor 4(2a+b)^2-4(2a+b)-24 factor

4 (2 a + b)^{2} - 4 (2 a + b) - 24

factor 11x^2-12x+1 factor

11 x^{2} - 12 x + 1

simplify 5/6-1/9 simplify

\frac{5}{6} - \frac{1}{9}

∣ x - 4 ∣ \leq 1

Frequently Asked Questions (FAQ)

What is -5|a-2|>-10 ?
The solution to -5|a-2|>-10 is 0<a<4