You need to pay attention to the direction of the inequality. You either add or takeaway from both sides.
< = Less than
> = Greater than
The less than or equal to sign is like the less than sign but it has a line underneath. The greater than or equal to sign is like the greater than sign but it has a line underneath.
EG1) x - 2 > 5
+2 +2
x > 7 or bigger
EG2) 2x + 5 > 7
-5 -5
2x > 2
x > 1
EG3) 5b + 4 > 74 - 2b
+2b +2b
7b + 4 > 74
-4 -4
7b > 70
b > 10
On a number line:
.
1 2 3 4 5 6 7 8 9 10
A circle not coloured in would be above the number 10 and there would be an arrow from the circle pointing right.
Questions :
1. 7 - 2x > 5x - 7
2. 9 - x < 2x + 6
< = Less than
> = Greater than
The less than or equal to sign is like the less than sign but it has a line underneath. The greater than or equal to sign is like the greater than sign but it has a line underneath.
EG1) x - 2 > 5
+2 +2
x > 7 or bigger
EG2) 2x + 5 > 7
-5 -5
2x > 2
x > 1
EG3) 5b + 4 > 74 - 2b
+2b +2b
7b + 4 > 74
-4 -4
7b > 70
b > 10
On a number line:
.
1 2 3 4 5 6 7 8 9 10
A circle not coloured in would be above the number 10 and there would be an arrow from the circle pointing right.
Questions :
1. 7 - 2x > 5x - 7
2. 9 - x < 2x + 6