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Sterling Middle School Algebra 1 Homework #13 – solving Inequalities NAME: ___________________________________DATE: __________________________ Solve the inequality. 1) x – 7 ≥ -4 3) 12 + y > 12 5) 9z ≤ -7z + 14 7) -2x – 7 ≥ 1 2) 4) 6) 8) 3x < -6 𝑦 2 ≤ 2 10 – 11d > -5d – 4 𝑦 −3 > -1 Sterling Middle School Algebra 1 Homework #13 – solving Inequalities Translate the verbal sentence into an inequality and solve. 9) Three more than 2 times a number x is greater than 27. 10) The sum of 5q and 8q is less than the difference of 4q and 22. 11) Twice the sum of 4 and p is less than -16. 12) A weaver spends $420 on supplies to make wall hangings and plans to sell the wall hangings for $80 each. Write an inequality that gives the possible numbers (w) of wall hangings the weaver needs to sell in order for the profit to be positive. What are these possible numbers? Solve the inequality, if possible. 13) -2(y – 1) < -22 14) 4(3 – 2y) > 36 15) 4(c – 5) < 2(c – 10) 16) 6x + 2 ≤ 5x + 2 17) 2(5 – a) > 4a + 13 – 6a 18) 4m + 14 – 2m ≤ 2(m + 7)