What is -|6c|-2>-10 ?

The solution to -|6c|-2>-10 is -4/3 <c< 4/3

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-|6c|-2>-10

- ∣ 6 c ∣ - 2 > - 10

- \frac{4}{3} < c < \frac{4}{3}

Interval Notation

(- \frac{4}{3}, \frac{4}{3})

Decimal Notation

- 1.33333 \dots < c < 1.33333 \dots

Solution steps

- ∣ 6 c ∣ - 2 > - 10

Move

2

to the right side

- ∣ 6 c ∣ > - 8

Multiply both sides by

- 1

∣ 6 c ∣ < 8

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 8 < 6 c < 8

6 c > - 8 and 6 c < 8

c > - \frac{4}{3} and c < \frac{4}{3}

Merge Overlapping Intervals

- \frac{4}{3} < c < \frac{4}{3}

1^{- \frac{2}{3}}

8 x - 15 > x^{2}

- 2 = \frac{3 x - 23}{4}

20 - 6 x = 4 x - 15

(x - 9)^{2} = 9