Answer:
[tex]x > -6[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]x + 7 < 4x + 25[/tex]
-Take [tex]4x[/tex] and subtract it from [tex]x[/tex] :
[tex]x - 4x + 7 < 4x - 4x + 25[/tex]
[tex]-3x + 7 < 25[/tex]
-Subtract [tex]7[/tex] on both sides:
[tex]-3x + 7 - 7< 25 - 7[/tex]
[tex]-3x < 18[/tex]
-When you are dividing an integer by a negative integer, then the inequality sign changes. So, Take [tex]-3x[/tex] and divide it on both sides:
[tex]\frac{-3x}{-3} < \frac{18}{-3}[/tex]
[tex]x > -6[/tex]
Therefore, the answer is [tex]x > -6[/tex].
