Transcript Section 6.1 Solving One-Step Linear Inequalities

Section 6.1
Solving One-Step
Linear Inequalities
Objectives:
Graph Linear inequalities in one variable
Solve one-step linear inequalities
Graph of a linear inequality in one variable
• The set of points on a number line that represents all
solutions of the inequality
• An open dot is used for  or  and a solid dot for  or 
• EX: Graph the inequality
• 1. x  3
• 3.
y  4
2. x  10
4. y  7
Solving One-step Linear Inequalities
• To solve a linear inequality, you isolate the variable on one
side using inverse operations. (much like solving a linear
equation)
• EX: Solve the inequality and graph its solution
• 5. 2  x  5
6. x  6  15
EX: Solve the inequality and graph its solution
• 7.
3  y  2
8.
• 9.
5 x  45
10.
3 y 5
6 y  36
EX: Solve the inequality and graph its solution
• 11.
y
 4
5
12.  3 x  12
4
• 13. Kim hopes that her next Biology test grade will be higher
than her average to date. Her first three test grades were 77,
83 and 86. Write and simplify an inequality to express the
scores that will meet Kim’s hopes.
6.1 p. 337
24 – 60x3, 28, 32, 47,
62 – 64 all, 72 – 84x3
24 questions