Tell whether the ordered pair is a solution of the inequality. show your solution.
1. 2x + y < -3 ; (-1, 9)
2. x - 3y ≥ 8 ; (2, -2)
1. 2x + y < -3 ; (-1, 9)
2. x - 3y ≥ 8 ; (2, -2)
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1.
2x + y < -3
write the inequality:
2( -1 ) + 9 < -3
substitute -1 for x and 9 for y:
-2 + 9 < -3
simplify:
= 7 < -3
No, 7 is not less than -3
so (-1, 9) is NOT a solution of the inequality.
2.
x - 3y ≥ 8
write the inequality:
2 - 3( -2 ) ≥ 8
substitute 2 for x and -2 for y:
2 + 6 ≥ 8
simplify:
= 8 ≥ 8
Yes, 8 is equal to 8
so (2, -2) is a solution to an inequality.