Question

Which ordered pair makes both inequalities true?

[ y leq -x + 1 ]
[ y geq 4 ]

a) (1,3)
b) (2,2)
c) (3,0)
d) (4,5)

Answer 1

To make both inequalities true, we need to find an ordered pair that satisfies both inequalities. After checking each option, the correct ordered pair is (4,5).

Step-by-step explanation:

To make both inequalities true, we need to find an ordered pair (x, y) that satisfies both [ y ≤ -x + 1 ] and [ y ≥ 4 ]. Let's check each option:

• Option a) (1,3): y ≤ -1 + 1 is false, so this option is not correct.
• Option b) (2,2): y ≤ -2 + 1 is false, so this option is not correct.
• Option c) (3,0): y ≤ -3 + 1 is true and y ≥ 4 is false, so this option is not correct.
• Option d) (4,5): y ≤ -4 + 1 is true and y ≥ 4 is true, so this option is correct.

Therefore, the ordered pair that makes both inequalities true is (4,5).