Question

Which values from the set {-6, -4, -3, -1, 0, 2} satisfy this inequality?

- 1/2 x + [3]\geq[/5]

A -4 , -3, -1, 0, and 2 only

B -1, 0, and 2 only

C -6, -4, -3, and -1 only

D -6 and -4 only

Answer 1

From the given set, only -6 and -4 satisfy the inequality - 1/2 x + 3 ≥ 5. We solve the inequality and find that values must be less than or equal to -4, leading to the answer D.

Step-by-step explanation:

The student is asking to determine which values from the given set satisfy the inequality - 1/2 x + 3 ≥ 5. To solve this inequality, let's first simplify and solve for x:

• Multiply both sides by 2 to get rid of the fraction: -x + 6 ≥ 10
• Add x to both sides: 6 ≥ 10 + x
• Subtract 10 from both sides: -4 ≥ x, or x ≤ -

This tells us that any number x that is less than or equal to -4 is a solution to the inequality.

Looking at the set {-6, -4, -3, -1, 0, 2}, we can see that -6 and -4 are the only numbers that are less than or equal to -4. Hence, the correct answer is D -6 and -4 only.