Which of the following values are solutions to the inequality -3<4x+6
I.5II.−9III.1
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 determine which values are solutions to the inequality, we substitute each value into the inequality and check if the inequality is true.
I. Substitute 5 into the inequality: -3 < 4(5) + 6
-3 < 20 + 6
-3 < 26
This is true, so 5 is a solution to the inequality.
II. Substitute -9 into the inequality: -3 < 4(-9) + 6
-3 < -36 + 6
-3 < -30
This is false, so -9 is not a solution to the inequality.
III. Substitute 1 into the inequality: -3 < 4(1) + 6
-3 < 4 + 6
-3 < 10
This is true, so 1 is a solution to the inequality.
Therefore, the values that are solutions to the inequality are I (5) and III (1). The answer is I and III (I, III).