The quotient of a number and 6 is less than 20.

We want to write a math phrase into a math expression (an inequality).

The inequality will be: x/6 < 20

The phrase is:

"The quotient of a number and 6 is less than 20."

We can break the phrase to explain how to write it.

The first part:

"The quotient of a number and 6..."

is written as:

x/6

where "a number" is x.

Now the second part:

"...is less than 20"

is written as:

< 20

This means that the thing at the left is smaller than 20.

Now, the whole inequality will be:

x/6 < 20

We could simplify this to get:

x < 20×6 = 120

x < 120

If you want to learn more, you can read:

link

< 20

Step-by-step explanation:

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step-by-step explanation: