Question

How do you solve the inequality `x - 3 > 2`?

Answer 1

`x > 5`

Explanation:

We can add 3 to each side of an inequality without effecting the validity or orientation of the inequality.

Things you can do with expressions in an inequality which maintain the inequality orientation:

• Add the same amount to each expression
• Subtract the same amount from each expression
• Divide each expression by the same amount provided the amount is greater than zero
• Multiply each expression by the same amount provided the amount is greater than zero

Things you can do with expressions in an inequality which reverse the inequality orientation.

• Divide each expression by the same amount when the amount is less than zero
• Multiply each expression by the same amount when the amount is less than zero