Question

1. 30 - 6a < -3(5 + 7a) > a < -3

Explanation:

Step1: Expand the right-hand side

$30 - 6a < -15 - 21a$

Step2: Add $21a$ to both sides

$30 + 15a < -15$

Step3: Subtract 30 from both sides

$15a < -45$

Step4: Divide by 15 on both sides

$a < -3$

Step5: Graph the solution

On the number line, draw an open circle at $-3$, then draw an arrow pointing left (towards negative infinity) to represent all values less than $-3$.

Answer:

$a < -3$
(Graph: Open circle at $-3$, arrow pointing left on the number line)