Solve the inequality 3x+7>x-3

To solve this inequality, we need to take steps to collect like terms on each side of the inequality. To start with, we can try getting all the numbers on one side of the inequality - on the left hand side, we have a +7, so we should -7 from both sides:3x+7-7>x-3-7, so 3x>x-10Now we can do the same thing with the x's, so that all the x's are on one side - on the right hand side we have one x, so we can minus one x from both sides:3x-x>x-x-10, so 2x>-10Now we need to get rid of the number multiplying the x. It's multiplied by 2, so we should divide both sides by 2:2x(/2)>-10(/2), so x>-5.

Answered by Nick B. Maths tutor

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