Q:

Solve each of the following inequalities for x. a. 3 + x > 8 b. x + 12 < 10 c. x – 23 > 15 d. x – 49 <6

Accepted Solution

A:
Answer: a. 3 + x > 8 Subtract 3 from both sides of the in equality. 3 βˆ’ 3 + x > 8 βˆ’ 3 Answer: The value of x is any number greater than 5. x > 5 b. x + 12 < 10 Subtract 12 from both sides of the inequality. x + 12 βˆ’ 12 < 10 βˆ’ 12 Answer: The value of x is any number less than βˆ’2. x < βˆ’2 c. x βˆ’ 23 > 15 Add 23 to both sides of the inequality. x βˆ’ 23 + 23 > 15 + 23 Answer: The value of x is any number greater than 38. x > 38d. x βˆ’ 49 < 6 Add 49 to both sides of the inequality. x βˆ’ 49 + 49 < 6 + 49 Answer: The value of x is any number greater than 55. x < 55Step-by-step explanation:straight from Penn