Decide whether the statement is true or false. If it is false, explain why. The union of the solution sets of 4xplus5equals13, 4xplus5greater than13, and 4xplus5less than13 is empty set

The given statement is false because it isn't an empty set!

Step-by-step explanation:

We have following sets of inequalities:

From we get ,

Therefore solution set is x=2.

Now, for we get ,  

Therefore solution set is x>2.

For we get ,

Therefore solution set is x<2.

Now, the union of x=2, x<2 & x>2 is  -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy