Answer: [tex]x > -6[/tex]
Step-by-step explanation:
(FIRST EX.) Group all constants on the right side of the inequality
[tex]8x-16 > -64[/tex]
Add [tex]16[/tex] to both sides:
[tex]8x-16+16 > -64+16[/tex]
Simplify the arithmetic:
[tex]8x > -64+16[/tex]
Simplify the arithmetic:
[tex]8x > -48[/tex]
(SECOND EXPLANATION) Isolate the x
Divide both sides by 8:
[tex]\frac{8x}{8} > \frac{-48}{8}[/tex]
Simplify the fraction:
[tex]x > \frac{-48}{8}[/tex]
Find the most significant common factor of the numerator and denominator:
[tex]x > \frac{-6\cdot 8}{1\cdot 8}[/tex]
Factor out and cancel the most significant common factor:
[tex]x > -6[/tex]
Solution on a coordinate plane:
Solution:
[tex]x > -6[/tex]
Interval notation:
[tex](-6,[/tex] ∞[tex])[/tex]
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