Answer:
D
Step-by-step explanation:
Solve all inequalities.
Given inequality:
[tex]-2x>-14\ [\text{Divide by -2, this will change the sign of the inequality}]\\ \\x<7[/tex]
A.
[tex]-7x<-49\ [\text{Divide by -7, this will change the sign of the inequality}]\\ \\x>7[/tex]
B.
[tex]3.5>-0.5x\ [\text{Divide by -0.5, this will change the sign of the inequality}]\\ \\-7<x\\ \\x>-7[/tex]
C.
[tex]3x\le 21\ [\text{Divide by 3}]\\ \\x\le 7[/tex]
D.
[tex]35>5x\ [\text{Divide by 5}]\\ \\7>x\\ \\x<7[/tex]
As you can see inequality in option D has the same solution set as given inequality.
