determine which points satisfy the inequality

Question

y≥-2x+9

a) (7,4) b) (-1,3) c) (10,-5)

Answer 1

Determine which points satisfy the inequality: y ≥ -2x + 9. a) (7,4) b) (-1,3) c) (10,-5)

Solution:

a) (7,4) <== satisfy the inequality

y ≥ -2x + 9 ==> 4 ≥ -2(7) + 9 ==> 4 ≥ -14 + 9 ==> 4 ≥ -5 <== True - satisfy the inequality: a) (7,4)

b) (-1,3) <== do not satisfy the inequality

y ≥ -2x + 9 ==> 3 ≥ -2(-1) + 9 ==> 3 ≥ 2 + 9 ==> 3 ≥ 11 <== False - do not satisfy the inequality: b) (-1,3)

c) (10,-5) <== satisfy the inequality

y ≥ -2x + 9 ==> -5 ≥ -2(10) + 9 ==> -5 ≥ -20 + 9 ==> -5 ≥ -11 <== True - satisfy the inequality: c) (10,-5)

Answer 2