Which of the following values are solutions to the inequality minus, 3, is less than, minus, 1, plus, 6, x, question mark−3<−1+6x?
I., minus, 1, II., minus, 8, III., minus, 7
I.−1II.−8III.−7
The inequality is -3 < -1 + 6x.
I. Plugging in -1 for x:
-3 < -1 + 6(-1)
-3 < -1 - 6
-3 < -7 (this is not true)
II. Plugging in -8 for x:
-3 < -1 + 6(-8)
-3 < -1 - 48
-3 < -49 (this is not true)
III. Plugging in -7 for x:
-3 < -1 + 6(-7)
-3 < -1 - 42
-3 < -43 (this is not true)
Therefore, none of the values -1, -8, and -7 are solutions to the inequality.