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$Solve for a. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 60 a+64 >= 80 a-92$

Solve for $a$ . $\newline$ Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ $60a+64 \geq 80a-92$

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Solve multi-step inequalities

Full solution

Q. Solve for

a

.

\newline

Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

60a+64 \geq 80a-92

Isolate the variable term: Isolate the variable term by moving all terms containing ' extit{a}' to one side and constants to the other side. $\newline$ $60a + 64 \geq 80a - 92$ $\newline$ $60a - 80a + 64 \geq -92$ $\newline$ $-20a + 64 \geq -92$
Subtract $64$ from both sides: Subtract $64$ from both sides to isolate the variable term further. $\newline$ $-20a + 64 - 64 \geq -92 - 64$ $\newline$ $-20a \geq -156$
Divide both sides by $-20$ : Divide both sides by $-20$ to solve for 'a'. Remember that dividing by a negative number reverses the inequality sign. $\newline$ $-20a / -20 \leq -156 / -20$ $\newline$ $a \leq 7.8$

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