Three times x is less then - 6 and greater then - 21

-21 < 3x < - 6

OR - 6 > 3x > - 21

Step-by-step explanation:

Take a part each section of the word form. Translate each section into algebraic form (numbers and symbols) and put the sections back together.

"Three times x": 3x A number and variable together multiply

"is less than - 6": < - 6

"and greater than - 21": > - 21

When writing that a number is > or <, you can also write the number on the other side, change the symbol, and it will mean the same thing.

<-6 is the same as - 6>

> - 21 is the same as - 21 <

The number remains on the same open or closed side of the symbol.

The problem tells use that "3x" is between - 21 and - 6. Put the sections back together, but write 3x in the middle.

-21 < 3x < - 6

You can also write:

-6 > 3x > - 21

You can write them either way, but some teachers prefer smaller number to bigger number from left to right.