Two less than the quotient of a number and four is less than six.

Answer 1

We should try to form an equation or inequality based on the information given to us, but let's do it a piece at a time.

"a number" indicates that we should allocate a variable here. Let's call it x.

"the quotient of a number and four" means we should divide that variable by 4, so we have x/4.

"Two less than" means we should subtract two from it, so we now have x/4 - 2.

"is less than" means we should use the < sign.

Lastly, we have six, so if we piece all of this together, we have the following inequality:

x/4 - 2 < 6

Can you complete the final steps and figure out what values x can be?

Answer 2

Need to break down the question into its parts. Always look for the "is" or similar - that's where the = sign goes. In this case, though, it's an inequality "is less than", so you'll need a "<". Also quotient means division. Assign a variable like "x" to the "number" they're looking for. Make sure you understand the sequence implied by "less than".

The quotient of a number and 4 is x/4. Two less than that is x/4 - 2 (not v.v.). That amount is less than 6, so the inequality is x/4 - 2 < 6. Solve this for x as you would any eqn or inequality but (important!) - if you need to mult or divide by a neg value in the process, you'll need to reverse the "sense" from "<" to ">".

When you're done, try a few values in the inequality to see if they hold true. Use the answer for x and something a little larger and smaller.

Answer 3

x/4 -2 < 6

x/4 < 8

x < 4(8)

x < 32