can someone correct this for me:
Translate the following statements into inequalities. Let x represent the number in each case.
2 times a number, increased by 28, is less than or equal to 6 times that number.
My answer: 2x+28 <6x
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the symbol that i'm using after the number 28 and before the 6 is the crocadile mouth eating number 6 with a line underneath the crocadile sign.
You did that correctly. Very good.
I and some others often choose to write <= for "less than or equal to", because of difficulty getting the underline to go beneath the "crocodile mouth" with computer keyboard commands.
2x+28<6x
-2x -2x
28<4x
- -
4 4
7<x
=x>7
2x+28<6x
Step 1: Subtract the ones with the same variables...
2x+28<6x
-2x. -2x
--------------
28<4x
Step 2: Divide the numbers
28/4=7. 4/4x=x
Answer:
7<x OR x>7
Your answer of "2x + 28 < 6x" is correct. To translate the given statement into an inequality, you correctly used "2x" to represent "2 times a number" and added "28" after it to represent "increased by 28." Finally, you used the inequality symbol "<" to indicate "is less than" and "6x" to represent "6 times that number."
As for the symbol you mentioned, some people choose to use "<=" to represent "less than or equal to" instead of the crocodile mouth symbol with a line underneath it. This is because it can be difficult to type the crocodile mouth symbol with an underline using a computer keyboard. So using "<=" in place of the crocodile mouth symbol is a common alternative.
Overall, you correctly translated the statement into an inequality and used the appropriate symbols for the comparison. Great job!