Question

Which of the four statements is true and also write a one-step inequality as an example of when you would "flip" the sign.

Answer 1

Explanation:

There are 5 types of Inequality sign :

1. = read '' equals to ''

2. > read '' greater than ''

3. < read '' less than ''

4. ≥ read '' greater than or equals to ''

5. ≤ read '' less than or equals to ''

Example -

1. 2 = 3 ( 2 is equals to 3 )

2. 3 > 2 ( 3 is greater than 2 )

3. 2< 4 ( 2 is less than 4 )

4. 3 ≥ 2 ( 3 is greater than or equals to 2)

5. 2 ≤ 4 ( 2 is less than or equals to 4 )

One - step inequality :

Addition and Subtraction Properties of Inequality -

If a > b, then a + c > b + c

If a > b, then a − c > b − c

Multiplication and Division Properties of Inequality -

If a > b, then ac > bc, if c > 0

If a > b, then ac < bc, if c < 0

If a > b, then
`(a)/(c) > (b)/(c)`, if c > 0

If a > b, then
`(a)/(c) < (b)/(c)`,, if c < 0

• The inequality x > y can also be written as y < x. The sides of any inequality can be switched as long as the inequality symbol between them is also reversed(or flip ).
• Solving inequalities is same as solving equations, except you have to reverse( or flip ) the inequality symbols when you multiply or divide both sides of an inequality by a negative number.