The answer is [tex]x>-12[/tex]
First you must use distributive property to simplify.
[tex]6x+18-2<8x+40[/tex]
Then, you must subtract 18 on both sides
[tex]6x-2<8x+22[/tex]
Next, add 2 on both sides
[tex]6x<8x+24[/tex]
Then, subtract 8x on both sides
[tex]-2x<24[/tex]
Finally, Divide both sides by -2. Don't forget to switch the equality sign because the variable was changed to a positive using division.
[tex]x>-12[/tex]
Answer:
x > -12
Step-by-step explanation:
6(x + 3) - 2 < 8(x + 5)
Distribute;
6x + 18 - 2 < 8x + 40
6x + 16 < 8x + 40
Subtract 8x from both sides;
-2x + 16 < 40
Subtract 16 from both sides;
-2x < 24
Divide both sides by -2
x > -12
The sign changes when it is divided by a negative number
