How Do You Solve an Inequality Using Subtraction?

'm' is a variable
'≤' means 'less than or equal to'
If we subtract 12.75 from the left side, then we have to subtract it from the right side
12.75 - 12.75 on the left is 0, which just leaves 'm' on the left
22 minus 12.75 is just 9.25

1. 'm' is a variable
2. We want to get 'm' by itself to solve for 'm'
1. 'm' is a variable
2. We want to get 'm' by itself to solve for 'm'
1. Subtraction is the opposite of addition
1. Subtraction is the opposite of addition, so we will want to subtract 12.75 to get 'm' by itself
1. Subtraction is the opposite of addition
1. 'm' is a variable
2. The 12.75's cancel out on the left side leaving just 'm'
1. On the right hand side: 22 minus 12.75 is equal to 9.25
1. 'm' is a variable
2. Less than or equal to is symbolized with '≤'
1. We can open up our braces with the { symbol
1. The 'such that' symbol is the vertical bar, |
1. '≤' is an inequality symbol that means less than or equal to
2. 'm' is a variable
1. We close are braces by using the } symbol

Solve this inequality for m: 12.75 + m ≤ 22