Answered

Get detailed and accurate responses to your questions on IDNLearn.com. Join our Q&A platform to access reliable and detailed answers from experts in various fields.

Which is a graph of the solution set of the inequality 3x-4y\le24?

Which Is A Graph Of The Solution Set Of The Inequality 3x4yle24 class=
Which Is A Graph Of The Solution Set Of The Inequality 3x4yle24 class=

Sagot :

ANSWER

Graph #4

EXPLANATION

To graph this inequality, we can solve it for y to obtain the equation of the line. First, subtract 3x from both sides of the inequality,

[tex]\begin{gathered} 3x-3x-4y\le-3x+24 \\ -4y\le-3x+24 \end{gathered}[/tex]

And divide both sides by -4. Remember that when we multiply or divide both sides of an inequality by a negative value, we have to flip the inequality sign,

[tex]\begin{gathered} \frac{-4y}{-4}\ge\frac{-3x+24}{-4} \\ y\ge\frac{3}{4}x-6 \end{gathered}[/tex]

Thus, the solution set of this inequality is the line y = 3/4x - 6 and all points above the line. Note that the line has a positive slope, so the graphs can only be the second or fourth, and only on the fourth graph, the shaded area is above the line.

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.