Provide an appropriate response.Explain why the conjunction -1 < x and x < 4 can be rewritten as 
but the disjunction 
cannot be rewritten as 
What will be an ideal response?
By definition, the notation -1 < x < 4 indicates that 
. A solution of the disjunction -1 < x OR x < 4 must be in at least one of these sets but not necessarily in both, so the disjunction cannot be written as -1 < x < 4.
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Solve the problem.A company determines that its cost (in dollars) of producing x machine parts is given by 
and that its revenue (in dollars) for selling x machine parts is given by 
. Write a system of inequalities that would represent the profit region for producing x machine parts. Then graph the system. 
A. C ? 0.2x2 + 2
R ? 12x - 0.2x2
B. C ? 0.2x2 + 2
R ? 12x - 0.2x2
C. C ? 0.2x2 + 2
R ? 12x - 0.2x2
D. C ? 0.2x2 + 2
R ? 12x - 0.2x2
Provide an appropriate response.
Find the area of the indicated sector.
A. 27.96 in.2 B. 27.83 in.2 C. 87.84 in.2 D. 4.66 in.2
Solve the problem.Four boys and three girls are seated, in a row, at random, to watch a play. What is the probability thata) a girl is seated at each end of the row?b) one of the boys is seated in the middle seat?c) boys and girls are seated alternately?
A. a) 
b) 
c) 
B. a) 
b) 
c) 
C. a) 
b) 
c) 
D. a) 
b) 
c) 
Write the two equations in slope-intercept form and then determine how many solutions the system has.x + 2y = 0y = - 
x
A. Infinite number B. None C. One