Answer:
1 . An open sentence of the form Ax + By + C < 0 is a linear inequality.
2 . An equation containing more than one variable is a literal equation.
3 . A statement formed by two or more inequalities is a compound inequality.
Step-by-step explanation:
A linear Inequality contains one inequality sign (> or <) sign, In Ax + By + C < 0, Ax + By + C is less than 0.
A literal equation contains more than one variable and equates to a number. An example is Ax + By = 0.
A compound inequality uses OR and AND to join two linear inequalities. When AND is used, it indicates that the values of the variables are true in both inequalities.
Top:
x / (x + 1) - 1 / x
= [x^2 - (x +1)] / x(x+1)
= (x^2 - x - 1 ) / x (x+1)
Bottom:
x / (x + 1) + 1 / x
= [x^2 + (x +1)] / x(x+1)
= (x^2 + x + 1 ) / x (x+1)
Now you have:
(x^2 - x - 1 ) / x (x+1)
----------------------------
(x^2 + x + 1 ) / x (x+1)
= (x^2 - x - 1 ) / x (x+1) * x (x+1) / (x^2 + x + 1 )
= (x^2 - x - 1 ) /(x^2 + x + 1 )
Answer:
x^2 - x - 1
---------------------
x^2 + x + 1
Answer:
B
Step-by-step explanation:
The closed circle at -
indicates that x can equal this value
The open circle at
indicates that x cannot equal this value.
All values of x between -
and
are valid, thus
-
≤ x <
→ B