What is the converse of the statement? perpendicular lines have negative reciprocal slopes.

The converse of the statement is:

If the Lines have negative slope than the lines  are perpendicular.

Step-by-step explanation:

" In logic, the converse of a categorical or implicational statement is the result of reversing its two parts. For the implication P → Q, the converse is Q → P "

We are given implicational statement as:

Perpendicular lines have negative reciprocal slopes.

i.e. we can write this statement as:

If lines are Perpendicular than lines have negative slope.

Here we have:

P= Line are perpendicular

Q= lines have negative slope

Now the converse of the statement is:

If the Lines have negative slope than the lines  are perpendicular

.

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x