Question

`y \ \textless \ x + 3`
`y \leqslant - 3x - 5`Solve The following system of inequalities graphically on the set of axes. State the coordinates of a point in the solution set.

Answer 1

The x-intercept is:

`\begin{gathered} y=0 \\ 0=x+3 \\ x=-3 \\ (-3,0) \end{gathered}`

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For y ≤-3x-5

The y-intercept is:

`\begin{gathered} x=0 \\ y=-3(0)-5 \\ y=-5 \\ (0,-5) \end{gathered}`

The x-intercept is:

`\begin{gathered} y=0 \\ 0=-3x-5 \\ x=-(5)/(3)=-1.667 \\ (-1.667,0) \end{gathered}`