Question

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

5x-9<91 ______Given_______
5x<100 ________?_________
x<20 _____Multiplication Property Identity Property______

A) Identity Property
B) Addition Property
C) Multiplication Property
D) Transitive Property

Answer 1

5x - 9 < 91 --- given
5x - 9 + 9 < 91 + 9
5x < 100 --- addition property....because I added 9 to each side
x < 100* 1/5 --- multiplication property
x < 20

so, step 2, we used the addition property

Answer 2

Answer: The correct option is, (B) Addition property

Explanation:

• Addition property : In this property, whatever is added to one side of the equal sign must be added to the other side.

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

• Multiplication property : In this property, whatever is multiplied to one side of the equal sign must be multiplied to the other side.

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

• Transitive property : If one value (x) is equal to the another value (y), which is equal to the another value (z), then the first value (x) is equal to the third value (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.