149k views
3 votes
Solve. 2x + 7 ≥ 27 or 3 + 3x ≤ 30

A) 10 ≤ x ≤ 9
B) x ≥ 10 or x ≤ 9
C) x ≥ 17 or x ≤ 11
D) x ≤ −10 or x ≤ 9

User DefLee
by
8.6k points

1 Answer

2 votes

Final answer:

Solving the compound inequality results in the solution x ≥ 10 or x ≤ 9, which means that any x that is greater than or equal to 10 or less than or equal to 9 is part of the solution set.

Step-by-step explanation:

To solve the compound inequality 2x + 7 ≥ 27 or 3 + 3x ≤ 30, we begin by isolating x in each inequality. For the first inequality, subtract 7 from both sides to get 2x ≥ 20, then divide by 2 to get x ≥ 10.

For the second inequality, we subtract 3 from both sides to get 3x ≤ 27, then divide by 3 to get x ≤ 9.

Since the inequalities are connected by 'or', we combine the solutions to get the final answer x ≥ 10 or x ≤ 9, which corresponds to option B).

You should always eliminate terms wherever possible to simplify the algebra and check your answer to ensure it is reasonable.

User Tayyab
by
8.1k points

No related questions found