Question

Given the following graph, would the point (1,2) Be a solution of the inequality? Explain.

Answer 1

ANSWER

The point (1,2) is not a solution

EXPLANATION

We could see that, the point (1,2) lies exactly on the boundary line.

Since the boundary line is dashed, the points on the boundary line are not solution.

Alternatively:

We deduce the inequality from the graph to be;

$y < 3x - 1$

If the point (1,2) is a solution,then it must satisfy the inequality.

$2 \: < \: 3(1) - 1$

$2 \: < \: 2$

This statement is false.

Hence, the point (1,2) is not a solution.