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graph the solution {:[y < 5],[x > -1]:}

graph the solution\newliney<5x>−1 \begin{array}{l} y<5 \\ x>-1 \end{array}

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Full solution

Q. graph the solution\newliney<5x>−1 \begin{array}{l} y<5 \\ x>-1 \end{array}
  1. Identify Inequalities: Identify the inequalities to graph. We have y<5y < 5 and x>−1x > -1.
  2. Graph y<5y < 5: Graph y<5y < 5. This is a horizontal line at y=5y = 5 that does not include the line itself, so it should be a dashed line. Shade the area below this line because yy is less than 55.
  3. Graph x>−1x > -1: Graph x>−1x > -1. This is a vertical line at x=−1x = -1 that also does not include the line itself, making it a dashed line. Shade the area to the right of this line because xx is greater than −1-1.
  4. Find Intersection: Find the intersection of the shaded areas. The solution to the system of inequalities is the area where the shadings overlap. This region is to the right of x=−1x = -1 and below y=5y = 5.

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