SOLUTION: Please help me solve the inequality. -4w + 12 > 10 or 5w - 14 > -4

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Question 945686: Please help me solve the inequality.
-4w + 12 > 10 or 5w - 14 > -4
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Solve EACH of them. Their solutions are connected by "OR", and they might or might not overlap; you do not know until you solve each.

Use the properties which you are learning.

-4w%2B12%3E10
Add -12;
Multiply by -1%2F4.

5w-14%3E-4
Add 14;
Multiply by 1%2F5.

w%3C2 OR w%3E2
This is disjoint, and the set cannot satisfy both inequalities at the same time.