Answer:
The answer is A.
Step-by-step explanation:
Ok, first let see with each point makes the inequality true. Remember that a point is made up of x and y in the form of (x , y).
Let's see if A suits this inequality. Replace the x in the inequality with 5 and the y with 1. The inequality should look like this: 5(1) - 8(5) [tex]\leq[/tex] 10. 5 times 1 is 5 and 8 times 5 is 40. 5 - 40 is -35. -35 is less than 10 so this true. So A is a solution.
NOTE THAT THE SIGN "[tex]\leq[/tex]" MEANS GREATER THAN OR LESS THAN SO YOU ONLY NEED TO MEET ONE CONDITION.
Let's see if B suits this inequality. Replace the x in the inequality with -3 and the y with 2. The inequality should look like this: 5(2) - 8(-3) [tex]\leq[/tex] 10. 5 times 2 is equal to 10 and -8 times -3 is equal to 24. Now the quation is this: 10 + 24 [tex]\leq[/tex] 10. 10 plus 24 is 34 and 34 IS NOT EQUAL OR LESS THAN 10. So B is not a solution.
Let's see if C suits this inequality. Replace the x in the inequality with 0 and the y with 4. The inequality should look like this: 5(4) - 8(0) [tex]\leq[/tex] 10. 5 times 4 is 20 and -8 times 0 is 0. 20 + 0 is 20 and 20 IS NOT LESS THAN OR EQUAL TO 10. So C is not a solution.
-1, -5
Let's see if D suits this inequality. Replace the x in the inequality with -1 and the y with -5. The inequality should look like this: 5(-5) - 8(-1) [tex]\leq[/tex] 10. 5 times -5 is -25 and -8 times -1 is 8. -25 plus 8 is -17 and -17 IS NOT LESS THAN OR EQUAL TO 10. So D is not a solution.
HOPE THAT HELPED!
