Let c = 10
Which comparison would make the expression true?
c + 25 < ???
A.) c²/10
B.) 3c ÷ 5
C.) 4c – 10
D.) c²–63
I think it's C but I'm not sure. Help.
C^2 = C squared.
well, c+25 = 35
Care to reconsider your answer?
Okay, so we know it's not B or C. I just got confused on what the "²" meant.
Got it.... 10 squared is 100 so.... that would mean the answer is D since 37 is more that 35!
To determine which comparison would make the expression true, we need to substitute the value of c into each option and see which one satisfies the given inequality.
Given: c = 10
Let's substitute c = 10 into each option:
A.) c²/10 = 10²/10 = 100/10 = 10
B.) 3c ÷ 5 = 3(10) ÷ 5 = 30/5 = 6
C.) 4c – 10 = 4(10) – 10 = 40 – 10 = 30
D.) c²–63 = 10² – 63 = 100 – 63 = 37
Now let's compare each result with the given inequality c + 25 < ???:
A.) 10 + 25 < 10 is not true (35 < 10)
B.) 10 + 25 < 6 is not true (35 < 6)
C.) 10 + 25 < 30 is true (35 < 30)
D.) 10 + 25 < 37 is not true (35 < 37)
Therefore, the only option that satisfies the inequality c + 25 < ??? is option C, 4c – 10. So your initial guess is correct.