Question

Choose the situation that best describes the inequality shown below:

t - 3 < -13
a) All real numbers less than -10.
b) All real numbers are greater than or equal to -10.
c) All real numbers less than or equal to -10.
d) All real numbers are greater than -10.

Answer 1

The inequality t - 3 < -13 simplifies to t < -10, indicating that all real numbers less than -10 are solutions. However, no option given correctly states this; the options might have a typo.

Step-by-step explanation:

To solve the inequality t - 3 < -13, we first isolate the variable t by adding 3 to both sides of the inequality:

t - 3 + 3 < -13 + 3

t < -10

This means that the solution to the inequality includes all real numbers less than -10. Therefore, the correct situation that best describes the inequality is:

d) All real numbers are greater than -10.

However, this statement is not consistent with our solution; the answer should be that all real numbers are less than -10, which is not listed in the options provided. There might be a typo in the available options, as the solution to the inequality indicates all real numbers are less than -10, not greater.