Question

Which inequality is a true statement? Select each correct answer. −3≤−1 −3<−1 −3=−1 −3>−1 −3≥−1

Answer 1

Given the inequalities, you need to remember the meaning of the inequality symbols:

1. This means "less than":

`<`

2. This means "greater than":

`>`

3. This means "less than or equal to":

`\leq`

4. And this one means "greater than or equal to":

`\ge`

Therefore:

1. Given the inequality:

`-3\leq-1`

You know that -3 is less than -1, therefore, that statement is true.

2. For:

`-3<-1`

You can identify that it is true too.

3. For:

`-3=-1`

You know that -3 and -1 are not equal. Therefore, that is false.

4. For:

`-3>-1`

You know that -3 is not greater than -1. Therefore, that is false.

5. For:

`-3\ge-1`

Using the same reasoning used before, you can determine that the statement is false.

Hence, the answers are:

- First option:

`-3\leq-1`

- Second option:

`-3<-1`