-3x - 12 > 8x + 21
Step 1: Combine like terms
x's go with x's (-3x and 8x). To do this add 3x to both sides
(-3x + 3x) - 12 > (8x + 3x) + 21
-12 > 11x + 21
Normal numbers go with normal numbers (-12 and 21). To do this subtract 21 to both sides
(-12 - 21) > 11x + (21 - 21)
-33 > 11x
Step 2: Isolate x by dividing 11 to both sides
-33/11 > 11x / 11
-3 > x
Hope this helped!
Answer:
[tex]x\:<\:-3[/tex]
Step-by-step explanation:
The given inequality is:
[tex]-3x-12\:>\:8x+21[/tex]
We group similar terms to obtain:
[tex]-12-21\:>\:8x+3x[/tex]
Combine the similar terms to obtain:
[tex]-33\:>\:11x[/tex]
Divide both sides by 11;
[tex]-3\:>\:x[/tex]
Or
[tex]x\:<\:-3[/tex]
