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Question 163843: -3(4x+5) < 7
Answer by midwood_trail(310)   (Show Source):
You can put this solution on YOUR website! -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?
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