Question 1 solve for x: −2x + 5 < 7 x > −1 x < −1 x > −6 x < −6 question 2 solve for x: 5 − (x + 5) > −2(x + 4) x > −8 x < −8 x > −18 x < −18 question 3 evelyn has $524.96 in her checking account. she must maintain a $500 balance to avoid a fee. she wrote a check for $32.50 today. write and solve an inequality to solve for the least amount of money she needs to deposit to avoid a fee. 524.96 − 32.50 + x ≥ 500; x ≥ $7.54 524.96 − 32.50 + x ≤ 500; x ≤ $7.54 524.96 + 32.50 − x ≥ 500; x ≥ $57.46 524.96 + 32.50 − x ≤ 500; x ≤ $57.46 question 4 marcie solved the following inequality, and her work is shown below: −2(x − 5) − 12 ≤ 4 + 6(x + 3) −2x + 10 − 12 ≤ 4 + 6x + 18 −2x − 2 ≤ 6x + 22 −8x ≤ 24 x ≤ −3 what mistake did marcie make in solving the inequality? she subtracted 6x from both sides when she should have added 2x. she added 2 to both sides when she should have subtracted 22. when dividing by −8, she did not change the ≤ to ≥. she did not make a mistake. question 5 a cab charges $1.75 for the flat fee and $0.25 for each mile. write and solve an inequality to determine how many miles eddie can travel if he has $15 to spend. $1.75 + $0.25x ≤ $15; x ≤ 53 miles $1.75 + $0.25x ≥ $15; x ≥ 53 miles $0.25 + $1.75x ≤ $15; x ≤ 8 miles $0.25 + $1.75x ≥ $15; x ≥ 8 miles question 6 a pack of paper costs $3.75 including tax. mr. cooper wants to purchase packs of paper for his class and has a $20 budget. write an inequality to solve for the number of packs of paper mr. cooper can purchase with his budget. $3.75x ≥ $20 $3.75x ≤ $20 $20x ≤ $3.75 $20x ≥ $3.75