Use the Symbolic Method to Solve Each Inequality

Problem 2.3 – Solving Linear Inequalities

Use the symbolic method to solve each inequality. Then make a number-line graph of the solutions. A. 1.) 3x + 17 < 47 2.) 43 < 8x – 9

4.) -6x + 9 ≤ 25 5.) 14x – 23 ≥ 5x + 13

6.) 18 < -4x + 2 7.) 3975 + 6d < 995 + 17.95d B. Inequality number 7 above relates to problem 2.1. Recall that C = 3975 + 6d was the equation for Super Locks costs and C = 995 + 17.95d was the equation for Fail Safe’s bid. What question do you think is trying to be answered with the inequality 3975 + 6d < 995 + 17.95d?

C. 1. Write an inequality to answer the question: “When is Fail Safe’s cost going to be less than Super Lock’s cost?” Then solve the inequality and draw a number line showing your solution.

2. What do you notice about your solution to the inequality that you just solved and the solution to the inequality in question A-7?