Answer
t≤5
Work Step by Step
2(t+2)−3t≥−1 ⟶ multiply according to the distributive property
2t+4−3t≥−1 ⟶ combine like terms
−t+4≥−1 ⟶subtract 4 from both sides
−t+4−4≥−1−4 ⟶ simplify
−t≥−5 ⟶ multiply both sides by -1; reverse the inequality sign
−t(−1)≤−5(−1) ⟶ simplify
t≤5
