Chapter 3 - Solving Inequalities - 3-5 Working With Sets - Practice and Problem-Solving Exercises - Page 199: 59

t≤5

2(t+2)−3t≥−1⟶ multiply using the distributive property 2t+4−3t≥−1⟶ combine like terms −t+4≥−1⟶ subtract 4 from each side −t+4−4≥−1−4⟶ subtract −t≥−5⟶ multiply each side by -1; reverse the inequality sign −t×−1≤−5×−1⟶ multiply t≤5