Give a direct proof of the following theorem.
Premise 1: If I become a business major, I will take math for the managerial sciences.
Premise 2: If I pass geometry, I will take algebra.
Premise 3: If I take algebra, I will become a business major.
Theorem: If I pass geometry, then I will take math for the managerial sciences.
Proof: STATEMENTS REASONS
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Solve the inequality graphically, numerically, or symbolically, and express the solution in interval notation. Where appropriate, round to the nearest tenth.
> 4
A. (-?, -0.5) ? (1.2, ?) B. (1.2, -0.5) C. (-?, 1.2) ? (-0.5, ?) D. (-0.5, 1.2)
Solve the problem.How many three-digit counting numbers do not contain any of the digits 1, 5, 7, 8, or 9?
A. 125 numbers B. 48 numbers C. 64 numbers D. 100 numbers
Determine whether the fractions are equivalent.
and 
A. equivalent B. not equivalent
Graph the linear function by plotting the x- and y-intercepts.5x - 10y = 10
A. 
B. 
C. 
D. 