Mathematics, 30.08.2019 21:00 TyleenValdez975

Consider the following conditional statement.
if a + 1 = b, then b > a.
a. create a pair of values for a and b in which the numerical relationship shown in the given conditional statement is true. in your final answer, include the values of the variables and proof of truth.
b. is it possible to create a pair of values for a and b in which the numerical relationship shown in the given conditional statement is false? use complete sentences to explain your answer.

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Answer from: ethanhose05

Step-by-step explanation:

Part A:

Lets take the value of a=10

Thus a+1=b

10+1=11 , it means the value of b is 11

11>10 or b>a

Now take the value of a as -3

Therefore a+1=b

-3+1= -2

-2>-3 or b>a

The pair of values for a and b are: a=10 then the value of b would be 11;

And a=-3; then the value of b would be: -2.

Part B:

It is not possible to create a pair of values for a and be, in which the numerical relationship shown in the given conditional statement is false, therefore b>a if a+1=b

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

da freeck kinda math is this just drop out

step-by-step explanation:

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Consider the following conditional statement.
if a + 1 = b, then b > a.
a. create a...

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