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
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.