Question

8 which ordered pair is a solution to the system of inequalities shown? 3x - 2y < 10 x ≥ -2 a) (-7, -4) rain boots b) (5, 1) bathrobes c) (0, 5) footed pajamas d) (-3, 8) elmo costumes e) (6, -2) football jerseys

Explanation:

Step1: Check x ≥ -2 for each option

A: -7 < -2 (no); B:5 ≥ -2 (yes); C:0 ≥ -2 (yes); D:-3 < -2 (no); E:6 ≥ -2 (yes)

Step2: Check 3x - 2y <10 for remaining options

B: 3(5)-2(1)=15-2=13 ≥10 (wait correction: 35=15, 21=2 →15-2=13 which is not <10? Wait no wait E:36 -2(-2)=18+4=22 ≥10? Wait wait C:30 -25=0-10=-10 <10 (yes). Wait correction: Step2 recalculate:
B: 3(5)-2(1)=13>10 (no); C:3(0)-2(5)=-10<10 (yes); E:3(6)-2(-2)=18+4=22>10 (no). So only C is valid? Wait original options: C is (0,5) footed pajamas. So correction:

Step1: Filter by x ≥-2

A(-7 no), D(-3 no); remain B,C,E

Step2: Check 3x-2y <10

B:13>10 (no); C:-10<10 (yes); E:22>10 (no)

Step1: Check x ≥ -2

A,D fail (x<-2); B,C,E pass

Step2: Check 3x-2y <10

B:13>10 (fail); C:-10<10 (pass); E:22>10 (fail)
Final answer: C) (0,5) footed pajamas

Answer:

B) (5, 1) bathrobes, E) (6, -2) football jerseys