Any is appriciated : )simplify the expression |ab| if a< 0 and b> 0simplify the expression |ab| ifa> 0 and b> 0

(a) |ab| if a<0 and b>0

since the modulus of a number no matter whether it is positive or negative gives the result as a positive number.

if a<0 and b>0 then ab<0

this implies ab is a negative number and modulus of negative number comes out to be positive term.

eg: if a= -2 and b=3

Then ab= -6

and  |ab|=|-6|=6

(b)  |ab| if a>0 and b>0.

since both a and b are positive numbers i.e. strictly greater than zero.

hence, ab>0

eg: if a=5 and b=2

then ab=10

and |ab|=|10|=10

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )