Solving One Step Inequalities

Solving One Step Inequalities

Example: x+3 < -5

• Just like with equations, we need to first get rid of our constant, by bringing in zero pairs. Whatever you do to one side, you must do to the other.

• This means that your answer any number that is less than or equal to 2

Multiple Choice

If the previous problem we got x < 2 as our answer. Is this a closed dot or open?

• closed

• open

Example 2

For this one, we want to rewrite it to where our variable is on the left because this will make it easier to graph.

Fill in the Blank

In the problem, x-10 > -3 what is the first step?

Multiple Choice

Solve 2x < -12

• x > 6

• x > -12

• x < -6

• x < 6

Multiple Select

Solve

 $10\le\frac{x}{3}$  

•  $30\ \le\ x$  

•  $x\ \ge\ 30$  

•  $\times\ge13$  

•  $13\le x$  

Working with a negative variable

• Just like equations, when we have a negative variable, we want to take care of it first

• In this inequality, when we flip the variable, we will flip everything else including the inequality sign

• Solve like normal

Multiple Choice

Solve

 $\frac{x}{-5}\ge3$  

•  $x\ge15$  

•  $x>15$  

•  $x\le-15$  

•  $x\le8$