Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−4<−13(a+6)−17
−4<−13a−95
Step 2: Flip the equation.
−13a−95>−4
Step 3: Add 95 to both sides.
−13a−95+95>−4+95
−13a>91
Step 4: Divide both sides by -13.
-13a/-13 > 91/-31
ANSWER: a < -7
Explanation in words:
- The first step is to simplify both sides of the inequality and the answer will end up being as −4<−13a−95.
- The second step is to flip the equation and the answer will end up being as −13a−95>−4.
- The third step is to Add 95 to both sides of the equation and the answer will end up being as −13a>91.
- The last step is to Divide both sides by -13 and the answer will result as a < -7. So the answer is a < -7.
Graph: See Attachment
Answer:
a<−7
Hope this helps.
