Which of the following numbers is not in the solution to the inequality? -7 ≤ 4x + 1 < 5

Question

-2

-1

0

1

Answer 1

-7 ≤ 4x + 1 < 5

Substitute -2 for X: -7 <= 4(-2) + 1 < 5

.................................-7 <= -8 + 1 < 5

.................................-7 <= -7 < 5

.................................-7 IS LESS THAN OR EQUAL TO -7, AND -7 IS LESS THAN 5.

................................. Therefore, -2 is part of the inequality solution, and is not an answer.

Substitute -1 for X: -7 <= 4(-1) + 1 < 5

................................-7 <= -4 + 1 < 5

................................-7 <= -3 < 5

................................-7 LESS THAN OR EQUAL TO -3, AND -3 IS LESS THAN 5.

................................ Therefore, -1 is part of the inequality solution, and is not an answer.

Substitute 0 for X: -7 <= 4(0) + 1 < 5

................................-7 <= 0 + 1 < 5

................................-7 <= 1 < 5

................................-7 IS LESS THAN OR EQUAL TO 1, AND 1 IS LESS THAN 5.

................................This is NOT one of your answers.

Substitute 1 for X: -7 <= 4(1) + 1 < 5

................................-7 <= 4 + 1 < 5

................................-7 <= 5 < 5

................................-7 IS LESS THAN OR EQUAL TO 5, BUT 5 IS NOT LESS THAN 5.

................................Therefore, 1 IS NOT part of the inequality solution, THE ANSWER.

Hope this was helpful KAYLA