hich of the following values are solutions to the inequality minus, 9, minus, 4, x, is greater than or equal to, 2, question mark−9−4x≥2?
I., minus, 3, II., minus, 6, III., 0
I.−3II.−6III.0
Answer
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 solve the inequality, we need to isolate the variable x.
First, subtract -9 from both sides:
-4x ≥ 2 + 9
-4x ≥ 11
Now, divide both sides by -4, remembering to reverse the inequality sign since we are dividing by a negative number:
x ≤ 11 / (-4)
x ≤ -11/4
So, the solution to the inequality is x ≤ -11/4.
Only option II, -6, is less than or equal to -11/4.
So, the answer is II only.