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 :

SOLUTION

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

STEP 1: Write the given inequalities

[tex]\begin{gathered} y<-x-1 \\ y<\frac{1}{5}x+7 \end{gathered}[/tex]

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:

[tex](-10,1)_{}[/tex]

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