Question 163843
-3(4x+5) < 7

Treat it like an equation.

Remove the parentheses.

-3(4x + 5) becomes -12x - 15 after using the distributive rule. 

We now have this:

-12x + 15 < 7

Subtract 15 from both sides of the inequality.

Afterward, we have this:

-12x < -15 + 7

-12x < -8

Divide both sides by -12 to find x.

Keep this in mind:

Whenever you divide or multiply an inequality by a negative number, you must reverse the sign of the inequality.

In other words, < will now become >


x > -8/-12

x > 8/12

We now reduce 8/12 to the lowest terms.

Final answer:  x > 2/3

Did you follow?