What is 1-4|8+8m|>-63 ?

The solution to 1-4|8+8m|>-63 is -3<m<1

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1-4|8+8m|>-63

1 - 4 ∣ 8 + 8 m ∣ > - 63

- 3 < m < 1

Interval Notation

(- 3, 1)

Solution steps

1 - 4 ∣ 8 + 8 m ∣ > - 63

Move

1

to the right side

- 4 ∣ 8 + 8 m ∣ > - 64

Multiply both sides by

- 1

4 ∣ 8 + 8 m ∣ < 64

Divide both sides by

4

∣ 8 + 8 m ∣ < 16

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 16 < 8 + 8 m < 16

8 + 8 m > - 16 and 8 + 8 m < 16

m > - 3 and m < 1

Merge Overlapping Intervals

- 3 < m < 1

8 u = 3 u + 35

n + 28 = 50

4 x^{2} - 15 x - 4

- 2 x \leq - 6

(x + 3)^{2} > (x - 2)^{2}