Question

Which graph shows the solution to the system of linear inequalities?

Answer 1

I don’t see the system or the answer graphs — can you paste the inequalities or upload the graphs? I can then pick which graph matches.

Meanwhile, here are quick steps you can use to identify the correct graph yourself:

1. Rewrite each inequality in slope-intercept form (y = mx + b).
2. Graph the boundary line for each:
- Use a solid line if the inequality is ≤ or ≥.
- Use a dashed line if the inequality is < or >.
3. Decide which side of each boundary to shade:
- Test a point not on the line (usually (0,0) if it’s not on the line). If the test point satisfies the inequality, shade the side that contains the test point; otherwise shade the opposite side.
4. The solution to the system is the region where the shadings overlap (the intersection).

Example:
System: y ≤ 2x + 1 and y > −x + 2
- Boundary lines: y = 2x + 1 (solid) and y = −x + 2 (dashed).
- Test (0,0): 0 ≤ 1 is true, so shade the region below/including y = 2x + 1. For the second, 0 > 2 is false, so shade the side opposite (i.e., above y = −x + 2).
- The solution is the strip of points that lie on or below y = 2x + 1 and strictly above y = −x + 2.

Send the specific inequalities or the graphs and I’ll choose the correct one.