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Popular >

|7+6a|<5

Solution

∣ 7 + 6 a ∣ < 5

Solution

- 2 < a < - \frac{1}{3}

+2

Interval Notation

(- 2, - \frac{1}{3})

Decimal Notation

- 2 < a < - 0.33333 \dots

Solution steps

∣ 7 + 6 a ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 7 + 6 a < 5

7 + 6 a > - 5 and 7 + 6 a < 5

a > - 2 and a < - \frac{1}{3}

Merge Overlapping Intervals

- 2 < a < - \frac{1}{3}

Popular Examples

factor (x-2)^2-25 factor

(x - 2)^{2} - 25

2-4(x+1)>= 2(x-1)-18

2 - 4 (x + 1) \geq 2 (x - 1) - 18

simplify log_{2}(2/3)simplify

lo g_{2} (\frac{2}{3})

-5<((4-3x))/2 <1

- 5 < \frac{( 4 - 3 x )}{2} < 1

simplify-|2|simplify

- ∣ 2 ∣

Frequently Asked Questions (FAQ)

What is |7+6a|<5 ?
The solution to |7+6a|<5 is -2<a<-1/3