Download Linear Equations and Inequalities

Unit 6
6.4 – Solving Linear Inequalities by
Using Addition and Subtraction
 Focus: Use addition and Subtraction to solve
Inequalities
Recall: Solving an Equation
 How could you solve the following Equation
algebraically.
 2x + 5 = 13
Connect: Solving an Inequality
 To solve an inequality, we use the SAME strategy as for
solving an equation:
 Isolate the variable by adding to or subtracting from
each side of the inequality
Equation VS Inequality
Example 1(a)
 Solve the inequality: 6.2 ≤ x – 4.5
 Verify the solution
 Graph the solution
Example 1(b)
 Solve the inequality: 6.2 ≤ x – 4.5
 Verify the solution
 Graph the solution
 Substitute a value that satisfies the inequality.
Example 1(c)
 Solve the inequality: 6.2 ≤ x – 4.5
 Verify the solution.
 Graph the solution
Example 2
 Solve the inequality. Graph the solution.
 x – 2.5 < 3.9
Example 3
 Solve the inequality. Graph the inequality.
 2y + 13.3 ≥ y – 24.1
Example 4
 Solve and graph the inequality.
 5x – 7 < 4x + 4
Example 5
Textbook assignment and worksheet