After plotting the inequalities, we see that the second set satisfies the graph provided.
How can we graph inequalities?
A linear or quadratic inequality can be graphed in a manner similar to that of an equation. The distinction is that an inequality displays a range of values greater than or less than, thus your graph will display more than just a dot on a number line or a line on a coordinate plane. You can figure out which numbers are part of an inequality solution by utilizing algebra and evaluating the inequality sign.
Let the first inequality be [tex]3x+5y\leq 10[/tex].
When we plot the equality, we see that it covers the portion including the origin.
Next inequality is [tex]-x+y > -5[/tex].
When plotting this one, we again see that it covers the portion including the origin.
The last equality is [tex]y-6 > -5x[/tex].
While plotting it, we see that this line overlaps the other 2 lines making a common space of the triangle that is shown in the figure.
Hence the second set of inequalities represent the graph.
To learn more about inequalities, visit the following link:
https://brainly.com/question/29227973
#SPJ1
After plotting the inequalities, we see that the second set satisfies the graph provided.
How can we graph inequalities?
To graph inequalities, you can use a number line or a coordinate plane. Here's an example of how to graph an inequality on a number line:
First, determine the inequality symbol: >, <, ≥, or ≤.
Next, determine the value of the inequality.
Plot the value on the number line, using an open circle for > or <, and a closed circle for ≥ or ≤.
Shade in the region on one side of the plotted point, according to the inequality symbol. For example, if the inequality is x > 3, then you would shade in the region to the right of 3, since values greater than 3 satisfy the inequality.
Here's an example of how to graph an inequality on a coordinate plane:
First, determine the inequality symbol: >, <, ≥, or ≤.
Next, rewrite the inequality in the form "y > f(x)" or "y < f(x)" by isolating the y term on one side of the inequality.
Plot the function f(x) on the coordinate plane.
Shade in the region above or below the plotted function, depending on the inequality symbol. For example, if the inequality is y > f(x), then you would shade in the region above the plotted function, since values of y greater than f(x) satisfy the inequality.
Let the first inequality be [tex]3x+5y\leq 10[/tex]
When we plot the equality, we see that it covers the portion including the origin.
Next equality is [tex]-x+y > -5[/tex]
When plotting this one, we again see that it covers the portion including the origin.
The last equality is [tex]y-6 > -5x[/tex]
While plotting it, we see that this line overlaps the other 2 lines making a common space of the triangle that is shown in the figure.
Hence the second set of inequalities represent the graph.
To learn more about inequalities follow link:
https://brainly.com/question/29227973
#SPJ1
