Question

Match the following inequations with their simplified forms.

• A. x > 7
• B. x > 4
• C. x < 2
• D. x < 3

Answer 1

Rule: If a term of an inequation is transferred from one side to the other side of the inequation, the sign of the term gets changed. Let's apply this rule in the following inequations.
(i) 4x - 8 > 20
Transfer -8 to the right hand side of the inequation
4x > 20 + 8
4x > 28
$\Rightarrow$ x > 7.
(ii) 3x - 2 > 10
Transfer -2 to the right hand side of the inequation
3x > 10 + 2
3x > 12
$\Rightarrow$ x > 4.
(iii) 11x + 2 < 24
Transfer +2 to the right hand side of the inequation
11x < 24 - 2
11x < 22
$\Rightarrow$ x < 2.
(iv) 13x + 3 < 42
Transfer +3 to the right hand side of the inequation
13x < 42 - 3
13x < 39
$\Rightarrow$ x < 3.