Answer
k≥1
Work Step by Step
3(k−5)+9k≥−3 ⟶ multiply using the distributive property
3k−15+9k≥−3 ⟶ combine like terms; add 15 to both sides
12k−15+15≥−3+15 ⟶ simplify
12k≥12 ⟶ divide both sides by 12
12k÷12≥12÷12 ⟶ simplify
k≥1
Check endpoint.
3(1−5)+9(1)=−3
3(−4)+9=−3
−12+9=−3
−3=−3✓
Check inequality.
3(5−5)+9(5)≥−3
3(0)+45≥−3
0+45≥−3
45≥−3✓
