Mathematics, 23.08.2019 22:30 drice517

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by q-p?

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Answer from: bommers144

NOT the contrapositive of the original conditional statement

Step-by-step explanation:

Answer from: HannaTheGurls

q ⇒ p represents the CONVERSE of the original conditional statement.

Step-by-step explanation: Given that p is the hypothesis and q is the conclusion of a conditional statement.

We are to find the representation of q ⇒ p.

We know that

if we interchange the hypothesis and conclusion of a conditional statement, then the new statement is the CONVERSE of the original statement.

In the given conditional statement, since p is the hypothesis and q is the conclusion, so

the statement is p ⇒ q.

So, q ⇒ p is formed by interchanging hypothesis and conclusion.

Thus, q ⇒ p represents the CONVERSE of the original conditional statement.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

(-8,5) bu tun not sure ok

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