Question

If three times a number plus four is no more than four times the number minus one, which of the following are true? Let z represent the number.

z > 5

z mr001-1.jpg 5

z mr001-2.jpg 5

The number is at least 5.

The number is at most 5.

Answer 1

2. z >= 5

4. The number is at least 5

Explanation:

Answer 2

`z\geq 5`

The number is at least 5

Explanation:

Let

z -----> the number

we know that

The inequality that represent this problem is

`3z+4 \leq 4z-1`

because, the phrase "no more than" is the same that "less than or equal to"

Solve for z

`4+1 \leq 4z-3z`

`5 \leq z`

Rewrite

`z\geq 5`

therefore

The number is at least 5.