Question

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.y < -x - 1y < 1/5x + 7

Answer 1

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the given inequalities

`\begin{gathered} y<-x-1 \\ y<(1)/(5)x+7 \end{gathered}`

STEP 2: Plot the graph of both inequalities

For the first inequality

For the second inequality

STEP 3: Plot the two inequalities on the graph to get the solution set.

The coordinates of a point in the solution set can be given as:

`(-10,1)_{}`