Which of the following values are solutions to the inequality 9-5x≥−4?

I.0 II.−2 III.5

Multiple Choice Answers
NoneNone
I onlyI only
II onlyII only
III onlyIII only
I and III and II
I and IIII and III
II and IIIII and III
I, II and IIII, II and III

1 answer

To find the solutions to the inequality, we can solve it by isolating the variable, x.

9 - 5x ≥ -4

First, we subtract 9 from both sides:

-5x ≥ -13

Next, we divide both sides by -5. However, when we divide an inequality by a negative number, the direction of the inequality sign flips.

x ≤ 13/5

Now, we can check which of the given values are solutions to the inequality.

I. 0:
0 is less than or equal to 13/5, so it is a solution.

II. -2:
-2 is less than or equal to 13/5, so it is a solution.

III. 5:
5 is greater than 13/5, so it is not a solution.

Therefore, the values I and II are solutions to the inequality.

Answer: I and II only.