Question

For each sentence below, use the drop-down menu to select a symbol that correctly indicates the relationship.

Three is less than a number. 3 < x
One more than a number is at least seven. x + 1 > 7
The maximum value of a number is 29. x < 29
The difference of a number and ten is at least 91. x - 10 > 91

Answer 1

Three is less than a number.
3 < x

One more than a number is at least seven.
x + 1 ≥ 7

The maximum value of a number is 29.
x ≤ 29

The difference of a number and ten is at least 91.
x - 10 ≥ 91

Answer 2

`3 < x`

`x + 1 \geq 7`

`x \leq 29`

`x - 10 \geq 91`

Explanation:

Let the unknown number be x

Three is less than a number: for less than we use < symbol

3 < a number becomes
`3 < x`

One more than a number is at least seven: Number atleast 7 means 7 or more than 7. So we use ≥ 7. One more than a number is x+1

`x + 1 \geq 7`

The maximum value of a number is 29: maximum value of x is 29 , so 29 or less than 29. Use ≤ symbol

`x \leq 29`

The difference of a number and ten is at least 91: The difference of a number and 10 is x-10. For at least we use ≥ because 91 is included.

`x - 10 \geq 91`