What property is used in the second step of solving the inequality below?

5x-9< 91
5x< 100
x< 20 property identity

a) identity property
b) addition property
c) multiplication property
d) transitive property

The correct option is, (B) Addition property

Step-by-step explanation:

        For example : If x = y then x + z = y + z

        For example : If x = y then x × z = y × z

        For example : If x = y and y = z then x = z

The given inequality expression is,

5x - 9 < 91

5x -9 + 9 < 91 + 9

(Using Addition property because we are adding 9 on both the side)

5x < 100

5x ÷ 5 < 100 ÷ 5

(Using Division property because we are dividing by 5 on both the side)

x < 20

Therefore, addition property is used in the second step of solving the inequality.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1