What is -7x-8<=-2x+7<-7x-3 ?

The solution to -7x-8<=-2x+7<-7x-3 is -3<= x<-2

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-7x-8<=-2x+7<-7x-3

- 7 x - 8 \leq - 2 x + 7 < - 7 x - 3

- 3 \leq x < - 2

Interval Notation

[- 3, - 2)

Solution steps

- 7 x - 8 \leq - 2 x + 7 < - 7 x - 3

a \leq u < b

then

a \leq u and u < b

- 7 x - 8 \leq - 2 x + 7 and - 2 x + 7 < - 7 x - 3

- 7 x - 8 \leq - 2 x + 7 : x \geq - 3

- 2 x + 7 < - 7 x - 3 : x < - 2

Combine the intervals

x \geq - 3 and x < - 2

Merge Overlapping Intervals

- 3 \leq x < - 2

(x - \frac{L}{2})^{3}

- 3 x^{2} + 4 x + 15

1^{\frac{5}{2}}

27 \leq 2 + 5 a

45 \cdot 10