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.
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