The ordered pair is in the solution set of 2x − 5y ≥ 10 is (5,0) and this can be determined by using the arithmetic operations.
Given :
Inequality -- 2x − 5y ≥ 10
The following steps can be in order to determine the ordered pair is in the solution set of 2x − 5y ≥ 10:
Step 1 - Write the given inequality.
2x − 5y ≥ 10
Step 2 - Substitute each point given in the option to the inequality.
Step 3 - Substitute (x = 0) and (y = 5) in the given inequality.
2(0) − 5(5) ≥ 10
-25 ≥ 10 (Not True)
Step 4 - Substitute (x = 5) and (y = 0) in the given inequality.
2(5) − 5(0) ≥ 10
10 ≥ 10 (True)
Step 5 - Substitute (x = -2) and (y = 5) in the given inequality.
2(-2) − 5(5) ≥ 10
-29 ≥ 10 (Not True)
Step 6 - Substitute (x = -5) and (y = 2) in the given inequality.
2(-5) − 5(2) ≥ 10
-20 ≥ 10 (Not True)
Therefore, the correct option is B).
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