Answer:
[tex]\boxed {x > -1}[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]-2x + 5 < 7[/tex]
-Subtract [tex]5[/tex] to both sides:
[tex]-2x + 5 - 5 < 7 - 5[/tex]
[tex]-2x < 2[/tex]
-When you are dividing an integer by a negative integer, the inequality sign changes. So, you divide both sides by [tex]-2[/tex]:
[tex]\frac{-2x}{-2} < \frac{2}{-2}[/tex]
[tex]\boxed {x > -1}[/tex]