Which of the following values are solutions to the inequality minus, 3, is less than, 2, x, minus, 3, question mark−3<2x−3?
I., minus, 2, II., 0, III., minus, 6
I.−2II.0III.−6
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 -3 < 2x - 3, we add 3 to both sides:
-3 + 3 < 2x - 3 + 3
0 < 2x
Then, we divide both sides by 2:
0/2 < 2x/2
0 < x
Therefore, the solution to the inequality is x > 0.
Among the given values, only II. 0 is a solution to the inequality. So the correct answer is:
II only