Which of the following values are solutions to the inequality minus, 5, is less than, 9, minus, 6, x, question mark−5<9−6x?
I., minus, 6, II., 3, III., minus, 1
I.−6II.3III.−1
To determine which of the values are solutions to the inequality, we need to plug each value into the inequality and see if the inequality holds true.
I. -6:
-5 < 9 - 6*(-6)
-5 < 9 + 36
-5 < 45
This inequality is not true, so -6 is not a solution.
II. 3:
-5 < 9 - 6*(3)
-5 < 9 - 18
-5 < -9
This inequality is also not true, so 3 is not a solution.
III. -1:
-5 < 9 - 6*(-1)
-5 < 9 + 6
-5 < 15
This inequality is true, so -1 is a solution.
Therefore, the only value that is a solution to the inequality is -1.