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Determine whether the ordered pair is a solution of the inequality. justify your answer. 5 x plus 8 y greater or equal than 2 semicolon space left parenthesis 0 comma space minus 3 right parenthesis

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Final answer:

The ordered pair (0, -3) is tested as a potential solution for the inequality 5x + 8y ≥ 2. Upon substitution and simplifying, the inequality is not satisfied, hence (0, -3) is not a solution to the inequality.

Step-by-step explanation:

The question asks us to determine whether the ordered pair (0, -3) is a solution to the inequality 5x + 8y ≥ 2. To do this, we substitute the x-value and the y-value from the ordered pair into the inequality:

5(0) + 8(-3) ≥ 2

After performing the substitution, we get:

0 - 24 ≥ 2

Which simplifies to:

-24 ≥ 2

This is not a true statement, therefore (0, -3) is not a solution to the inequality 5x + 8y ≥ 2.

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