Hey there!
Guide:
• The word “sum” means “add”
• The word “difference” means “subtract”
• The word “product” means “multiply”
• The word “quotient” means “divide”
• The word “is” means “equal”
• The word “more-than” can either mean “add” or “bigger than”. It is a number that is bigger than the number compared to (like 6 is bigger than 5)
• The word “less-than” can either mean “subtract” or “smaller than”. It is a number that is being is smaller than the number that it is being compared to (like 5 is smaller than 6)
Guide 2:
• > is greater than / more than
• < is less than
• + is sum
• - is difference
• × is product or “of”
• ÷ is quotient
• ≥ is greater than or equal to whereas it is either greater than or equivalent to the numbers that are being compared
• ≤ is less than or equal to where is either less than or equivalent to the numbers that are equivalent to each other
Now that we have that information out of the way, we can answer you question.
We have the words: “sum” and “is” in your mathematical word expression, we know that we’re ADDing and trying to figure out what is GREATER than 4.
Your “number” that is being compared to “8” is unknown so we will label it as “z” as it’s variable.
Anyways let’s answer your question
“The sum of a number and 8”
z + 8
“Is more than 4”
> 4
YOUR EQUATION: “z + 8 > 4” (POSSIBLE ANSWER #1)
SOLVING FOR YOUR EQUATION:
z + 8 > 4
SUBTRACT 8 to BOTH SIDES
z + 8 - 8 > 4 - 8
CANCEL out: 8 - 8 because it gives you 0
KEEP: 4 - 8 because it helps you figure out what is being compared to the z-value.
z > 4 - 8
SIMPLIFY IT!
z > -2 (POSSIBLE ANSWER #2)
It is an OPEN circle shaded to the RIGHT side of the number line starting at -4. (Factoid for POSSIBILITY #2)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
