To solve this inequality graphically on a number line, you can follow these steps:
1. Start by graphing a circle at the point where x = 6. This represents the boundary point where the inequality is equal to.
2. Since the inequality is x/2 + 3 > 6, we need to determine which side of the boundary point to shade. To do this, pick a test point on either side of the boundary point and substitute it back into the inequality to see if it is true. If it is true, shade that side. If it is false, shade the other side.
Let's test x = 0:
(0)/2 + 3 > 6
0 + 3 > 6
3 > 6
Since this is false, we should shade the side that does not include x = 0.
3. Shade the region to the right of the circle because it does not include x = 6.
4. Finally, draw an arrow to the right to indicate that the inequality x/2 + 3 > 6 holds for all values of x to the right of 6.
The completed graph on a number line would have a circle at x = 6 and a shaded region to the right of the circle with an arrow indicating that x/2 + 3 > 6 holds for all values to the right of x = 6.
x/2 + 3 > 6
on a number line.
1 answer
1 answer