Solving Linear Inequalities Chapter 4 Section 1 Solving Linear Inequalities

Inequalities > greater than ≥ greater than or equal to < less than ≤ less than or equal to

Practice True/False 4 > 7 2 > 9 3 ≥ 3 5 < 7 6 ≤ 3

Inequality Linear inequality in one variable Solving an Inequality Placing an inequality symbol between a linear expression (mx + b) and a constant Solving an Inequality Finding the set of numbers that make the inequality true. Theses numbers are called solutions and satisfy the inequality.

Sample of Inequalities 3x – 5 > -17 2x – 4 < x + 5

Solve like an Equation Just remember: If you multiply or divide by a negative number, point the inequality symbol the other way.

Solve the equality 3x – 5 > - 17 -2x – 4 < x + 5 Graph the solutions on the number line.

Solve and graph the solution set 2x + 5 < 17 18x + 45 ≥ 12x – 8 8(x + 1) ≤ 7(x + 5) + x

Unusual Solutions Sets 2(x + 4) > 2x + 3 x + 7 ≤ x - 2

Summary Inequality Symbols Inequality Solutions Solving inequalities