2-step%20inequalities

1
2-step inequalities

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

2
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 lt or gt and
• Closed circle represents lt or gt

3
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

4
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 lt -5

5
Example

• 2y 3 lt -5
• 3 3 add 3 to both sides
• 2y lt -2
• 2 2 divide both sides by 2
• y lt -1
• graph
• -3 -2 -1 0 1 2 3

6
Another example

• Dont forget if you multiply or divide by a
  negative number, you must reverse the inequality
  sign.
• -9 gt x 6
• -3
• -9 gt x 6
• -6 -3 -6 subtract 6
• (-3)-15 gt x (-3)
• -3 multiply by -3
• 45 lt x x gt 45

7
Try These

• 5a 9 gt 11
• 17 .5 c lt14
• 6 x gt 3
• 8.3 lt -0.5b 2.7
• 4x 5 21
• -14 -2p 7
• 11 8c 9c

8
Answers

• 5a 9 gt 11 a gt 4
• 17 .5 c lt14 c lt -6
• 6 x gt 3 x lt 3
• 8.3 lt -0.5b 2.7 b lt -22
• 4x 5 21 x 4
• -14 -2p 7 p 10.5
• 11 8c 9c c 11

9
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!