Question

Write an inequality with a variable on one side, a negative integer on the other side, and one of the inequality symbols in between. Give a value that is a solution of the inequality you wrote, AND a value that is not a solution of the inequality.​

Answer 1

Answer: Let's try x = 1 as a potential solution:

Substituting x = 1 into the inequality:

3(1) - 7 ≥ -10

3 - 7 ≥ -10

-4 ≥ -10

Since -4 is greater than or equal to -10, x = 1 is a solution to the inequality.

Let's try x = -3 as a potential solution:

Substituting x = -3 into the inequality:

3(-3) - 7 ≥ -10

-9 - 7 ≥ -10

-16 ≥ -10

Since -16 is not greater than or equal to -10, x = -3 is not a solution to the inequality.

Therefore, x = 1 is a solution to the inequality 3x - 7 ≥ -10, while x = -3 is not a solution.

Explanation: