Question

If the graph shown below represents the inequality y __ 3x - 4, where __ represents a missing inequality sign, which of the following is the appropriate sign to use to complete the inequality?

I need help fast please

Answer 1

When the sign is ≤ or ≥ ("less/greater than or equal to") the line is a solid line.

When the sign is < or >, the line is a dotted line.

When y is > (greater than) the shaded area is above the line. (y > #)

When y is < (less than) the shaded area is below the line. (y < #)

Answer 2

≥

Explanation:

In the figure attached, the graph is shown.

Take any point of the graph, for example, (0,0) which is in the grey area (the solution of the inequality), and replace it in the function, as follows:

3x - 4 -> 3(0) - 4 = -4

y = 0

0 > -4

Then, y > 3x - 4

The line represents the function y = 3x - 4, and is not dotted, that means, points on them are solutions too; therefore the equality is also satisfied. So, y ≥ 3x - 4 is represented in the graph.