Which of the following values are solutions to the inequality 5, is less than, 7, plus, 5, x, question mark5<7+5x?
I., 6, II., minus, 5, III., minus, 7
I.6II.−5III.−7
To find the values that are solutions to the inequality, we can solve the inequality by subtracting 7 from both sides and then dividing by 5:
5x < 7+5
5x < 12
x < 12/5
Thus, any value that is less than 12/5 is a solution.
I. 6 --> 6 is greater than 12/5, so it is not a solution.
II. -5 --> -5 is less than 12/5, so it is a solution.
III. -7 --> -7 is less than 12/5, so it is a solution.
Therefore, the values that are solutions to the inequality are II. -5 and III. -7.