Question

Which of the following ordered pairs represents a solution to the linear inequality y<6x–4?

A) (0, 3)
B) (0, 4)
C) (0, 11)
D) (0, –5)

Answer 1

Option D, the ordered pair (0, –5), is the correct solution to the linear inequality y < 6x – 4 because when we substitute 0 for x and –5 for y, the inequality –5 < –4 holds true.

Step-by-step explanation:

The question asks which of the given ordered pairs is a solution to the linear inequality y < 6x – 4. To determine if an ordered pair is a solution, we substitute the x and y values into the inequality and check if the inequality holds true.

• A) (0, 3) leads to 3 < 6(0) – 4, which simplifies to 3 < –4. This is not true.
• B) (0, 4) leads to 4 < 6(0) – 4, which simplifies to 4 < –4. This is also not true.
• C) (0, 11) leads to 11 < 6(0) – 4, which is 11 < –4. This is not true.
• D) (0, –5) leads to –5 < 6(0) – 4, which simplifies to –5 < –4. This is true, therefore, option D is the correct answer.

Only option D satisfies the inequality, so the correct answer is (0, –5).