Answer:
x < - 4
Step-by-step explanation:
Given
2x - 2 > 4x + 6 ( subtract 2x from both sides )
- 2 > 2x + 6 ( subtract 6 from both sides )
- 8 > 2x ( divide both sides by 2 )
- 4 > x , thus
x < - 4
Answer:
x = -3
Step-by-step explanation:


Add 2/3 x to both sides: 
Subtract 8 from both sides: 
Multiply both sides by 3: 
Divide both sides by 11: 
Therefore, point of intersection between both lines is at point (-3, -1)
Answer:
symmetric property
Step-by-step explanation:
The <em>symmetric property</em> is the one that tells you A=B means also B=A.
The obfuscating factor in this question is the renaming of angle SZW to angle WZS. Both names refer to the same angle.
Answer:
(n + 1)(3n + 7)
Step-by-step explanation:
3n² + 10n + 7
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × 7 = 21 and sum = + 10
The factors are + 3 and + 7
Use these factors to split the n- term
3n² + 3n + 7n + 7 ( factor the first/second and third/fourth terms )
3n(n + 1) + 7(n + 1) ← factor out (n + 1) from each term
= (n + 1)(3n + 7) ← in factored form
To find the difference, we are going to destroy the parenthesis first, and then, we are going to perform the operations. Remember that to destroy a parenthesis preceded by a negative sign (-), you should change the signs of the factors inside the parenthesis:


Now we can factor both numerator and denominator and simplify:

We can conclude that the difference in simplest form is: