Which statement is a contrapositive of p? p: if x is divisible by 4, then x is divisible by 2. a. if x is divisible by 2, then x is divisible by 4. b. if x isn’t divisible by 4, then x isn’t divisible by 2. c. if x isn’t divisible by 2, then x isn’t divisible by 4. d. if x is divisible by 2, then x isn’t divisible by 4. e. if x isn’t divisible by 4, then x is divisible by 2.

B. If x isn’t divisible by 4, then x isn’t divisible by 2.

Step-by-step explanation:

contra positive statement is obtained by interchanging the hypotheses and conclusion of the inverse statement.

Here given that statement p is

If x is divisible by 4, then x is divisible by 2.

To write contrapositive of p, first we interchange the hypothesis.

Then it would look like

If x is divisible by 2, then x is divisible by 4.

Now we make conclusion as negative. i.e.

If x is not divisible by 4, then x is not divisible by 2.

This is the contra positive statement of p

Hence option B is right.

C. If x isn’t divisible by 2, then x isn’t divisible by 4.

Step-by-step explanation:

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50x5=$250

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is