Solving Two-Step Inequalities

Solving Two-Step Inequalities

Start taking notes on your paper now :)

Solving two-step inequalities is very similar to solving two-step equations.

-Instead of an equal sign, you will have an inequality symbol.
-Instead of one solution, you will have more than one solution that will make the inequality true
-x > 6 means x is greater than 6. Any number larger than 6 is a solution for this inequality.

REMINDER:


If you multiply or divide
both sides by a negative,
you must flip the symbol! Some examples are to the right.

​REMINDER: When graphing the solution, make a legible circle ON THE LINE and draw a highlighted or darked arrow in the direction of the solution. The symbols and their meaning are listed below.

Example a)


Step 1: subtract 5 from both sides

Step 2: multiply 3 on both sides

Step 3: write final answer (x < 15)


Step 4: graph the inequality

Example b)

Step 1: subtract 3 from both sides

Step 2: divide by -6 on both sides

Step 3: flip symbol to get final answer of x ≤ -1

Step 4: graph the inequality

Example c)
Step 1: add 8 to both sides

Step 2: multiply by -6 on both sides

Step 3: flip symbol to get final answer of x ≤ 24

Step 4: graph the inequality

Ready to try a few on your own?

​Complete the practice problems on the back of your notes with your tablemates and check your work with the answer key posted on Google Classroom (under Friday 3/7/25) or with the teacher when you are finished.