$14 for a haircut plus a 15% tip anyone ???
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<u><em>Answer:</em></u>
D. 7x + 2y < 2
<u><em>Explanation:</em></u>
<u>The two general forma of the inequality are:</u>
y < mx + c .........> In this case, shading is below the boundary line
y > mx + c .........> In this case, shading is above the boundary line
Since we are looking for the inequality with shading below the boundary line, therefore, we are looking for an y < mx + c format
<u>Now, let's check the givens:</u>
<span><u>y - x > 5</u>
</span>Rearranging, we would get:
y > x + 5
The shading is above the boundary line. This option is incorrect
<span><u>2x - 3y < 3</u>
Rearranging, we would get:
2x - 3 < 3y
The shading is above the boundary line. This option is incorrect
</span><span><u>2x - 3y < 7</u>
Rearranging, we would get:
2x - 7 < 3y
The shading is above the boundary line. This option is incorrect
</span><span><u>7x + 2y < 2</u>
Rearranging, we would get:
2y < -7x + 2
The shading is below the boundary line. This option is correct
</span><span><u>3x + 4y > 12</u>
Rearranging, we would get:
4y > -3x + 12
The shading is above the boundary line. This option is incorrect
<u>As a second solution</u>, I attached the graphs of the 5 given functions.
Observing these graphs, we will find that the correct one is D
Hope this helps :)</span>
D. 7x + 2y < 2
<u><em>Explanation:</em></u>
<u>The two general forma of the inequality are:</u>
y < mx + c .........> In this case, shading is below the boundary line
y > mx + c .........> In this case, shading is above the boundary line
Since we are looking for the inequality with shading below the boundary line, therefore, we are looking for an y < mx + c format
<u>Now, let's check the givens:</u>
<span><u>y - x > 5</u>
</span>Rearranging, we would get:
y > x + 5
The shading is above the boundary line. This option is incorrect
<span><u>2x - 3y < 3</u>
Rearranging, we would get:
2x - 3 < 3y
The shading is above the boundary line. This option is incorrect
</span><span><u>2x - 3y < 7</u>
Rearranging, we would get:
2x - 7 < 3y
The shading is above the boundary line. This option is incorrect
</span><span><u>7x + 2y < 2</u>
Rearranging, we would get:
2y < -7x + 2
The shading is below the boundary line. This option is correct
</span><span><u>3x + 4y > 12</u>
Rearranging, we would get:
4y > -3x + 12
The shading is above the boundary line. This option is incorrect
<u>As a second solution</u>, I attached the graphs of the 5 given functions.
Observing these graphs, we will find that the correct one is D
Hope this helps :)</span>