Final answer:
To solve for inequalities, plot the corresponding function then shade the area that satisfies the inequality. For y <= 4 - x², plot a down-facing parabola, shading underneath. For y > 2x + 1, plot a line with slope of 2 and y-intercept of 1, shading above. The overlapping shaded regions satisfy both inequalities.
Step-by-step explanation:
To plot the inequalities y <= 4 - x² and y > 2x + 1 you will need to first separately plot the line for each equation, then indicate the region that satisfies each inequality.
For y <= 4 - x², plot a downwards parabola with its vertex at (0, 4) and shade the region under the curve to indicate y is less than or equal to the function.
For y > 2x + 1, plot a line with a slope of 2 and y-intercepts of 1, shading above the line as y is greater than the equation. Where the shaded areas overlap indicates where both inequalities are true.
Learn more about Plotting inequalities