Examples
x+1>3x+1>3 , x-2>4x−2>4
Step 1
Step 1.1
Subtract 11 from both sides of the inequality.
x>3-1x>3−1 and x-2>4x−2>4
Step 1.2
Subtract 11 from 33.
x>2x>2 and x-2>4x−2>4
x>2x>2 and x-2>4x−2>4
Step 2
Step 2.1
Add 22 to both sides of the inequality.
x>2x>2 and x>4+2x>4+2
Step 2.2
Add 44 and 22.
x>2x>2 and x>6x>6
x>2x>2 and x>6x>6
Step 3
The intersection consists of the elements that are contained in both intervals.
x>6x>6
Step 4
The result can be shown in multiple forms.
Inequality Form:
x>6x>6
Interval Notation:
(6,∞)(6,∞)
Step 5