You can
put this solution on YOUR website! 7x+3>9x-5
Solving inequalities is just like solving equalities. The only difference is when you multiply or divide both sides by a negative number, in which case, you will have to reverse the direction of the inequality sign. For example:
-2x > 6
Dividing both sides by (-2) :
-2x/(-2) < 6/(-2) (Take note that the inequality sign is reversed from
">" to "<".)
x < -3
Now to your question :
1) 7x+3 > 9x-5
7x - 9x > -5 -3 ( By Transposition )
-2x > -8
-2x /(-2) < -8 /(-2) ( Dividing both sides by -2 )
x < 4
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2) 5x-5 < 2x+10
5x - 2x < 10 + 5
3x < 15
3x/3 < 15/3
x < 5
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You can
put this solution on YOUR website!Solving any equations with "greater than" or "less than" signs is pretty much the same as solving a normal equation.
1) 7x+3 > 9x-5
7x-7x+3 > 9x-7x-5
3 > 2x-5
3+5 > 2x-5+5
8 > 2x
4 > x
x < 4
2) 5x-5 < 2x+10
5x-2x-5 < 2x-2x+10
3x-5 < 10
3x-5+5 < 10+5
3x < 15
x < 5
The only time inequalities don't act the same as normal equations is when each side is multiplied by a negative number. If that happens, a "greater than" sign becomes a "less than" sign or vice versa.
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