Knowee
Questions
Features
Study Tools

Which solution satisfies the inequality  x – 3y ≤ 0?*(3, 0)(-1, 0)(1, -2)(-4, -3)

Question

Which solution satisfies the inequality

x – 3y ≤ 0?

  • (3, 0)
  • (-1, 0)
  • (1, -2)
  • (-4, -3)
🧐 Not the exact question you are looking for?Go ask a question

Solution

To find out which solution satisfies the inequality x - 3y ≤ 0, we need to substitute each pair of (x, y) values into the inequality and see if the inequality holds true.

  1. For (3, 0), the inequality becomes 3 - 3*0 ≤ 0, which simplifies to 3 ≤ 0. This is not true, so (3, 0) is not a solution.

  2. For (-1, 0), the inequality becomes -1 - 3*0 ≤ 0, which simplifies to -1 ≤ 0. This is true, so (-1, 0) is a solution.

  3. For (1, -2), the inequality becomes 1 - 3*(-2) ≤ 0, which simplifies to 1 + 6 ≤ 0, or 7 ≤ 0. This is not true, so (1, -2) is not a solution.

  4. For (-4, -3), the inequality becomes -4 - 3*(-3) ≤ 0, which simplifies to -4 + 9 ≤ 0, or 5 ≤ 0. This is not true, so (-4, -3) is not a solution.

Therefore, the only solution that satisfies the inequality x - 3y ≤ 0 is (-1, 0).

This problem has been solved

Similar Questions

Which inequality has a solution of (0, -2)?*3x - 2y ≤ -43x – 2y ≤ 42x – 3y ≤ -42x – 3y ≤ 4

Which is a solution of the inequality 2x + 3y > 6?*(2, 1)(-3, 0)(-3, -4)(-2, 3)

Which of the following represents the solution of the inequality(4x - 3)(1 - x) > 0?

Which of the following represents the solution of the inequality 3x2 + 2x - 1 ≤ 0?

Which value below is included in the solution set for the inequality statement?-3(x - 4) > 6(x - 1)

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.