8.7 Solving Inequalities Objective: Students will solve one-step inequalities and graph them on the number line. Students will be able to describe what each answer and graph means.
Solve inequalities n + 8 > 3 x – 8 < 23 10 ≥ y + 4
St.Examples x + 2 > 3 1 ≤ x – 9 x + 4 < 3 -6 ≤ x - 9
Graphing Inequalities x + 4 < 5 m + 8 ≥ 12 z – 15 ≥ 65 h + 19 < 15
St. Examples f + 1 ≤ 6 z – 15 > 72 d - 8 < 7 d – 7 ≤ -8
Notes When dividing or multiplying by negative number, switch inequality sign. Ex: -2x < 6 -2x > 6 -2 -2
Inequality (division) 2x > -8 -7s ≤ 14 5a < 35 5z ≥ -65
Student Examples 9a < 36 12x ≤ -60 -7s > -84 -16k > 32
Inequality (multiplication)
Inequality (multiplication) B / 7 > 21 N / -3 ≥ -5 t/9 > 12 u/5 < 12
Wrap up Questions/Comments Ic/hw: workbook pg. 57, #1 - 24
Quiz Solve and graph the inequality. -3x < 12 X – 6 > 1