Question

Solve ( (x + 2 < 5) cup (-7 > -6) ).

a) ( x < -3 )
b) ( x > 3 )
c) ( x > -3 )
d) ( x < 3 )

Answer 1

The solution to the inequality x + 2 < 5 is found by subtracting 2 from both sides, which yields x < 3. The component (-7 > -6) is a false statement and has no bearing on solving the inequality for x. Thus, the correct answer is option d) x < 3.

Step-by-step explanation:

The question appears to have a mix of unrelated components, but if we focus on the core inequality x + 2 < 5, we can solve for x to find the solution to this part of the question. First, we subtract 2 from both sides of the inequality to isolate x:

• x + 2 - 2 < 5 - 2
• x < 3

Therefore, the solution to the inequality is x < 3, which matches option d).

The part of the question containing (-7 > -6) does not make sense within this context as it is already an established false statement and does not affect the solution to the first inequality. Thus, it does not contribute to solving for x in this problem.