Which ordered pairs are solutions to the inequality 2x y>−4?

General
1

which ordered pairs are solutions to the inequality 2x y>−4?

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Which ordered pairs are solutions to the inequality (2x + y > -4)?

Answer: To find which ordered pairs satisfy the inequality (2x + y > -4), we substitute each ordered pair into the inequality and check if it holds true. Let’s go through a few examples:

1. Check with Example Ordered Pairs:

  • Example 1: (0, 0)

    • Substitute into the inequality:
    2(0) + 0 > -4 \implies 0 > -4
    • This is true, so (0, 0) is a solution.

  • Example 2: (1, -3)

    • Substitute into the inequality:
    2(1) + (-3) > -4 \implies 2 - 3 > -4 \implies -1 > -4
    • This is true, so (1, -3) is a solution.

  • Example 3: (-1, -3)

    • Substitute into the inequality:
    2(-1) + (-3) > -4 \implies -2 - 3 > -4 \implies -5 > -4
    • This is false, so (-1, -3) is not a solution.

Steps to Check Any Ordered Pair:

  1. Substitute: Replace (x) and (y) in the inequality with the values from the ordered pair.
  2. Simplify: Perform the arithmetic operations.
  3. Compare: Check if the resulting statement is true. If true, it’s a solution; if false, it’s not.

Summary: Solving (2x + y > -4) with different ordered pairs involves substituting values and checking the inequality. Ordered pairs like (0, 0) and (1, -3) satisfy the inequality, while (-1, -3) does not.

Feel free to try other pairs, and let me know if you need more help! @Ozkanx