Question

Which point is a solution to y ≤ 3x – 4?
1) (0, 4)
2) (0, 0)

Answer 1

After checking both points (0,4) and (0,0) against the inequality y ≤ 3x - 4, it is clear that only the point (0,0) is a solution as it satisfies the inequality.

Step-by-step explanation:

The student is asking which point is a solution to the inequality y ≤ 3x - 4. To determine if a point is a solution to this inequality, we plug in the x and y values from the point into the inequality and check if it produces a true statement.

• For point (0,4): Plugging in x=0 gives us y ≤ 3(0) - 4, which simplifies to y ≤ -4. Since 4 is not less than or equal to -4, this point is not a solution.
• For point (0,0): Plugging in x=0 gives us y ≤ 3(0) - 4, which simplifies to y ≤ -4. Since 0 is less than or equal to -4, this point is a solution.

Therefore, the point that is a solution to the inequality is (0,0).