Which of the following values are solutions to the inequality 1, is less than, 4, x, minus, 3, question mark1<4x−3?

Question

Which of the following values are solutions to the inequality 1, is less than, 4, x, minus, 3, question mark1<4x−3?

I., 9, II., 4, III., 1
I.9II.4III.1
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
Submit Answer

Answer 1

I only

To check if a value is a solution to the inequality, substitute the value into the inequality and see if it holds true.
1 < 4(9) - 3
1 < 36 - 3
1 < 33
This is true, so 9 is a solution.

1 < 4(4) - 3
1 < 16 - 3
1 < 13
This is not true, so 4 is not a solution.

1 < 4(1) - 3
1 < 4 - 3
1 < 1
This is not true, so 1 is not a solution.

Therefore, only 9 is a solution to the inequality.