combine like terms
-6<-1x
divide by negative 1 on both sides
flip the sign when dividing by a negative number
6>x is the answer.
Answer:
[tex]\boxed { x < 6}[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]-6 < 3x - 4x[/tex]
-Combine like terms:
[tex]-6 < 3x - 4x[/tex]
[tex]-6 < -x[/tex]
-Switch sides:
[tex]-6 < -x[/tex]
[tex]-x > -6[/tex]
-When you are dividing an integer by a negative integer, then the inequality sign would change. So, to get the variable [tex]x[/tex] positive, divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} > \frac{-6}{-x}[/tex]
[tex]\boxed { x < 6}[/tex]
