Question

Solve the inequality. 8x−16>-64

Answer 1

Answer:
`x > -6`

Explanation:

(FIRST EX.) Group all constants on the right side of the inequality

`8x-16 > -64`

Add
`16` to both sides:

`8x-16+16 > -64+16`

Simplify the arithmetic:

`8x > -64+16`

Simplify the arithmetic:

`8x > -48`

(SECOND EXPLANATION) Isolate the x

Divide both sides by 8:

`(8x)/(8) > (-48)/(8)`

Simplify the fraction:

`x > (-48)/(8)`

Find the most significant common factor of the numerator and denominator:

`x > (-6\cdot 8)/(1\cdot 8)`

Factor out and cancel the most significant common factor:

`x > -6`

Solution on a coordinate plane:

Solution:

`x > -6`

Interval notation:

`(-6,` ∞
`)`

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