Answer:
F and B (as far as I can see).
Step-by-step explanation:
First, let's simplify the equation. You can easily do this by dividing by -4.
-4x < 20
/-4 /-4
x > -5
REMEMBER- Whenever dividing or multiplying a negative number with inequalities, the sign flips!!
On A, we can see that it has a negative symbol, but if we were to divide that, the sign would flip, making -5 greater than x. That's not what we want.
On B, the 20 is negative instead of the 4. Does this change anything?
4x > -20
/4 /4
x > -5
Nope! It still simplifies to what we had at the beginning so it works!
C and D are slightly confusing me because, well, I don't really see how it's relevant to anything so... It doesn't even have a inequality symbol so I don't know lol.
E is wrong because we need the 5 to be positive.
F is obviously right compared to our first answer.
This is already in prime factored form. If you multiply 2, 3, 5, and 7 you get 2*3*5*7 = 6*35 = 210
So if your book asked "what is the prime factorization of 210?" then the answer would be 2*3*5*7
I'm using the asterisk symbol * in place of x because x is often used as a variable in algebra.
Answer:
Step-by-step explanation:
(5y+4+3x)(5y+4-3x) = (5y+4)² - (3x)²......(from the difference of 2 squares )
by identity : (a+b)(a-b) = a² - b²
in this exercice ; a = 5y+4 and b = 3x