Question

Which is different? Write “both” inequalities.

The inequality that represents the different sentence is .

The inequality that represents the sentences that are alike is .

Answer 1

The inequality that represents the different sentence is
`\( k \geq -3 \)` .

The inequality that represents the sentences that are alike is
`\( k \leq -3 \) (a, b, c)` .

The given sentences describe inequalities related to the variable k. Let's analyze each statement:

a.
`\( k \leq -3 \)`

b.
`\( k \leq -3 \)`

c.
`\( k \leq -3 \)`

d.
`\( k \geq -3 \)`

The inequality that represents the different sentence is (d)
`\( k \geq -3 \)`. This is because statement (d) is the only one expressing that k is "at least" -3, meaning it can be greater than -3, while the others emphasize that k is less than or equal to -3. In other words, (d) allows for values of k that are greater than -3, making it distinct from the others.

On the other hand, the inequalities that represent the sentences that are alike are (a), (b), and (c), as they all convey that k is less than or equal to -3. These expressions are equivalent and can be used interchangeably.

In summary, the different inequality is
`\( k \geq -3 \)`, and the alike inequalities are
`\( k \leq -3 \)`, with the latter set comprising statements (a), (b), and (c).

`\( k \leq -3 \) (a, b, c)`.

Answer 2

The first answer………..