1. a box of crayons costs $1.75, including tax. mr. valentino wants to purchase boxes of crayons for his class and has a $25 budget. write an inequality to solve for the number of boxes of crayons mr. valentino can purchase with his budget. $1.75x ≤ $25 $1.75x ≥ $25 $25x ≤ $1.75 $25x ≥ $1.75 2. solve for x: 4 − (x + 2) < −3(x + 4) x < −7 x > −7 x < −9 x > −9 3. tony has $727.29 in his checking account. he must maintain a $500 balance to avoid a fee. he wrote a check for $248.50 today. write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee. 727.29 + 248.50 − x ≥ 500; x ≥ $475.79 727.29 + 248.50 − x ≤ 500; x ≤ $475.79 727.29 − 248.50 + x ≥ 500; x ≥ $21.21 727.29 – 248.50 − x ≤ 500; x ≤ $21.21 4. 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 5. eduardo solved the following inequality, and his work is shown below: −5(x + 4) + 21 ≥ −3 + 4(x − 8) −5x − 20 + 21 ≥ −3 + 4x − 32 −5x + 1 ≥ 4x − 35 −9x ≥ −36 x ≥ 4 what mistake did eduardo make in solving the inequality? when dividing by −9, he did not change the ≥ to ≤. he subtracted 4x from both sides when he should have added 5x. he subtracted 1 from both sides when he should have added 36. he did not make a mistake.