SOLUTION: Solve. Collect the variable terms on the left side of the inequality 7x + 3 > 9x - 5

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Question 19071: Solve. Collect the variable terms on the left side of the inequality
7x + 3 > 9x - 5
Answer by MelanieBCC(40) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this, you perform the same steps as if the ">" is an equal sign until the very end...
7x%2B3%3E9x-5
subtract 7x from each side to get 7x-7x%2B3%3E9x-7x-5
to get 3%3E2x-5
then add 5 to each side 3%2B5%3E2x-5%2B5
to get 8%3E2x
next divide each side by 2 8%2F2%3E2x%2F2
to get 8%2F2%3Ex
and simplify
4%3Ex
and put the variable on the left side
x%3C4
the reason the direction of the sign changes is that saying "4 is greater than x" is the same as saying "x is less than 4"