Question

Choose the correct graph for the solution set of the inequality

Answer 1

Given the following inequality:

`5x-y\leqslant10`

To graph the inequality, first, we need to graph the line: 5x - y = 10

Using the intercepts of the line

when x = 0, y = -10

When y = 0, x = 2

So, the line passes through the points (0, -10) and (2, 0)

the line will be solid because of the sign ≤

Now, we will use the point (0, 0) as a test point to decide which area will be the solution to the given inequality

so, when x = 0, and y = 0

`0\leqslant10`

which is a true condition

So, the answer will be: