Question

Which inequalities have -0.5, 2.5, and 4 as part of the

solution set? Select all that apply.
A) z > -3
B) z < 5
C) z < 4
D)z Less-than-or-equal-to 4
E) z > 0

Answer 1

The inequalities that have -0.5, 2.5, and 4 as part of the solution set are A) z > -3, B) z < 5, and D) z ≤ 4.

Step-by-step explanation:

The question asks which inequalities include -0.5, 2.5, and 4 as part of their solution set. To determine which inequalities are correct, we compare the values with each inequality option:

• A) z > -3: This is true for -0.5, 2.5, and 4, as all are greater than -3.
• B) z < 5: This is also true for -0.5, 2.5, and 4 since all are less than 5.
• C) z < 4: This is only true for -0.5 and 2.5, as 4 is not less than itself.
• D) z ≤ 4: This inequality includes -0.5, 2.5, and 4, as all are less than or equal to 4.
• E) z > 0: This is only true for 2.5 and 4, as -0.5 is not greater than 0.

The correct inequalities that include -0.5, 2.5, and 4 as part of the solution set are A) z > -3 and B) z < 5, and D) z ≤ 4.