Solve using the multiplication principle. -$$- 7 a + 9 \geq - 8 a + 12$$ A) $\{ a \mid a \geq 3 \}$ B) $\{ a \mid a - 7 \}$

Question

Solve using the multiplication principle.
-$$- 7 a + 9 \geq - 8 a + 12$$
A) $\{ a \mid a \geq 3 \}$
B) $\{ a \mid a < - 7 \}$
C) $\{ a \mid a \leq 3 \}$
D) $\{ a \mid a > - 7 \}$

Quizplus · Accepted Answer

To solve the inequality $-7a + 9 \geq -8a + 12$, add $8a$ to both sides to get $a + 9 \geq 12$. Then, subtract $9$ from both sides to get $a \geq 3$. This corresponds to choice A, $\{ a \mid a \geq 3 \}$.

Solve Using the Multiplication Principle −7a+9≥−8a+12- 7 a + 9 \geq - 8 a + 12−7a+9≥−8a+12

Solve Using the Multiplication Principle $- 7 a + 9 \geq - 8 a + 12$