Problem Solving with Inequalities (For use with Lesson 2-3) inequalities. By working through the steps in the problems below, you will gain skill in solving problems involving Problem 1 A company offers its salespersons a monthly salary of $1400 plus a 10% commission on all sale over $5000. Makoto, a salesman for the company, wants to earn at least $2000 this month. Hi: sales for the month must therefore be at least how much? a. What does the problem ask you to find? b. Let s = Makoto's sales for the month. Give an expression in terms of s for: the amount of sales to which the 10% commission is applied the dollar amount of his commission the amount he earns for the month c. Replace each phrase with an algebraic expression or symbol. Makoto's earnings for the month should be at least $2000. d. Solve the inequality. (Remember to multiply both side of the inequality by 10 to remove the decimal.) e. Write your answer to the problem. f. Check your results with the statements of the problem. At least how much must Makoto's sales for the month be? By how much do these sales exceed $5000? What would be the dollar amount of Makoto's commission on sales over $5000? What would be his total earnings for the month? Are his earnings at least $2000