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).
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
1 answer