ebra 1 - Unit 5 - Summative- Question 1/9 The solution set of $$ 5 x-2 y9 $$ is graphed on a coordinate plane. Complete each statement about the graph so that they are true. The point $$ (0,0) $$, $$ \square $$ Is not , a solution of the inequality, so the half-plane that $$ \square $$ contain this point will be shaded. The boundary will be a $$ \square $$ line.

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ebra 1 - Unit 5 - Summative- Question 1/9 The solution set of $$ 5 x-2 y>9 $$ is graphed on a coordinate plane. Complete each statement about the graph so that they are true. The point $$ (0,0) $$, $$ \square $$ Is not , a solution of the inequality, so the half-plane that $$ \square $$ contain this point will be shaded. The boundary will be a $$ \square $$ line.

UpStudy AI · Accepted Answer

We start by testing the point (0,0) in the inequality 5x – 2y > 9.

• Substitute (0,0): 5(0) – 2(0) = 0, and 0 > 9 is false.  
 This tells us that (0,0) is NOT a solution.

Since (0,0) is not a solution, the half‐plane that does NOT contain (0,0) is the solution set and will be shaded.

Because the inequality is strict (using > instead of ≥), the boundary line (5x – 2y = 9) is not included in the solution set. Therefore, the boundary is drawn as a dashed line.

So, the completed statements read:

The point (0,0), is not a solution of the inequality, so the half-plane that does not contain this point will be shaded.  
 The boundary will be a dashed line.
The point (0,0) is not a solution, so the half-plane that does not contain it is shaded. The boundary is a dashed line.

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