Identify the solution set of the inequality using the given replacement set.

1 answer:

5 0

$-10 < -7 \to true \\
-7.2 < -7 \to true \\
-7 < -7 \to not \ true \\
-6.9 < -7 \to not \ true \\
6.5 < -7 \to not \ true \\
9 < -7 \to not \ true \\ \\
\{-10,-7.2 \} \Rightarrow \hbox{the answer is A}$

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Step 1: Simplify both sides of the equation.
−10(10x−12)=−9(−9x−2)−5
(−10)(10x)+(−10)(−12)=(−9)(−9x)+(−9)(−2)+−5(Distribute)
−100x+120=81x+18+−5
−100x+120=(81x)+(18+−5)(Combine Like Terms)
−100x+120=81x+13
−100x+120=81x+13
Step 2: Subtract 81x from both sides.
−100x+120−81x=81x+13−81x
−181x+120=13
Step 3: Subtract 120 from both sides.
−181x+120−120=13−120
−181x=−107
Step 4: Divide both sides by -181.
−181x
−181
=
−107
−181
x=
107
181
Answer:
x=
107
181

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