solve and graph this inequality: 2x+7<21 write your solved inequality here: should the point be open or closed? where is the shading?

Answer 1

To solve the inequality 2x + 7 < 21, we need to isolate the variable x.

Subtracting 7 from both sides of the inequality:
2x + 7 - 7 < 21 - 7
2x < 14

Dividing both sides of the inequality by 2:
2x/2 < 14/2
x < 7

The solved inequality is x < 7.

To graph this inequality on a number line:
1. Draw a number line with a point at 7.
2. Since the solution is x < 7, the point at 7 should be an open point, not filled in.
3. The shading should be on the left side of the number line, towards negative infinity.

Graphically, it looks like this:

-----o========================================>

Shaded area: x < 7