2-step inequalities  Earlier in the year, we learned how to solve inequalities. Remember what the open circle And closed circle represent?

2-step inequalities  Earlier in the year, we learned how to solve inequalities. Remember what the open circle And closed circle represent? Open circle represents and Closed circle represents

2-step inequalities  We also learned that if an inequality was greater than we highlighted the right (or greater) side of the number line:  If the inequality was less than we highlighted the left (or less) side of the number line:

2-step inequalities  When we solve 2-step inequalities, we solve just as if the problem had an equals sign.  For example consider the problem: 2y – 3 < -5

Example  2y – 3 < add 3 to both sides 2y < divide both sides by 2 y < -1 graph

Another example  Don’t forget: if you multiply or divide by a negative number, you must reverse the inequality sign.  -9 > x > x subtract 6 (-3)-15 > x (-3) -3multiply by

Try These: 1. 5a – 9 > c < – x > < -0.5b – x + 5 ≥ ≤ -2p c ≥ 9c

Answers: 1. 5a – 9 > 11a > c <14c < – x > 3x < < -0.5b – 2.7b < x + 5 ≥ 21x ≥ ≤ -2p + 7p ≤ c ≥ 9cc ≤ 11

2-Step Inequalities Worksheet:  Complete the two – step inequalities worksheet.  Show all work and graph your answers on the given number lines.  REMEMBER: Open versus Closed Circles!