Question

In two the three sentences, describe what the graph would look like for the inequality: y + 4 ≥ 2x.

Answer 1

The side of the straight line already drawn which includes the origin will be the solution zone of the given inequality and the line will be a firm line.

Explanation:

First of all, we have to draw the line y + 4 = 2x on the coordinate plane.

The line y = 2x - 4, will have slope 2 and the y-intercept will be - 4.

Now, after drawing the line on the coordinate plane, we are selecting a point on the coordinate plane {say the point is the origin (0,0)}.

Now, put the point (0,0) on the inequality equation y + 4 ≥ 2x and check whether it satisfies the inequality or not.

Then, 0 + 4 > 0 and hence, it satisfies the inequality.

Therefore, the side of the straight line already drawn which includes the origin will be the solution zone of the given inequality and the line will be a firm line. (Answer)