1. select all coordinate pairs that are solutions to the inequality ( 5x + 9y < 45 ).\na. ( (0,0) )\nb. (…

1. select all coordinate pairs that are solutions to the inequality ( 5x + 9y < 45 ).\na. ( (0,0) )\nb. ( (5,0) )\nc. ( (9,0) )\nd. ( (0,5) )\n2. write an inequality that is represented by\nthe graph in slope intercept form.

1. select all coordinate pairs that are solutions to the inequality ( 5x + 9y < 45 ).\na. ( (0,0) )\nb. ( (5,0) )\nc. ( (9,0) )\nd. ( (0,5) )\n2. write an inequality that is represented by\nthe graph in slope intercept form.

Answer

Explanation:

Step1: Substitute (0,0) into the inequality

Substitute (x = 0) and (y = 0) into (5x+9y). (5\times0 + 9\times0=0) Since (0<45), ((0,0)) is a solution.

Step2: Substitute (5,0) into the inequality

Substitute (x = 5) and (y = 0) into (5x + 9y). (5\times5+9\times0=25) Since (25<45), ((5,0)) is a solution.

Step3: Substitute (9,0) into the inequality

Substitute (x = 9) and (y = 0) into (5x+9y). (5\times9+9\times0 = 45) Since (45\not<45) (it is equal), ((9,0)) is not a solution.

Step4: Substitute (0,5) into the inequality

Substitute (x = 0) and (y = 5) into (5x+9y). (5\times0+9\times5=45) Since (45\not<45) (it is equal), ((0,5)) is not a solution.

Answer:

A. ((0,0)), B. ((5,0))