Which points are solutions for y ≤ 2x + 4?

Question

Question 5
Which points are solutions for y ≤ 2x + 4?
Select ALL correct answers.
□ (10, 10)
□ (10, -10)
□ (-10, 10)
□ (-10, -10)
Question 6
Graph the inequality y > -3x + 2 on paper or digitally.
Upload a clear picture.
• Show at least two points on the boundary
• Use the correct boundary style (dotted line or solid line)
• Shade the solution region.
• Include a labeled test point explaining your shading choice.

SnapAndSolve AI · Accepted Answer

For each point, substitute into the inequality y ≤ 2x + 4:
- (10, 10): 10 ≤ 2(10) + 4 → 10 ≤ 24 (True)
- (10, -10): -10 ≤ 2(10) + 4 → -10 ≤ 24 (True)
- (-10, 10): 10 ≤ 2(-10) + 4 → 10 ≤ -16 (False)
- (-10, -10): -10 ≤ 2(-10) + 4 → -10 ≤ -16 (False)
Correct answers: (10, 10) and (10, -10).
To graph y > -3x + 2:
- Plot the line y = -3x + 2 using two points, such as (0, 2) and (1, -1).
- Use a dotted line because the inequality is 'greater than' not 'greater than or equal to'.
- Shade above the line, as the inequality is y > -3x + 2.
- Choose a test point, such as (0, 0), to verify the shading: 0 > -3(0) + 2 → 0 > 2 (False), so shade the opposite side of the test point.

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Which points are solutions for y ≤ 2x + 4?

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