How do you solve the inequality #-2x + 3 >7#?
To solve a linear inequality, you can mostly behave the same way as you do when solving linear equations, with two important equations:
- each time you multiply both sides with a negative number or if you divide both sides by a negative number, you need to "turn" the greater/less sign, so, transform
#<#into #>#and vice versa
- if you flip the sides of the equation, you also need to "turn" the greater/less sign.
With this knowledge, you can solve the inequality as follows:
... divide by
So, the solution is