186k views
4 votes
Solve and graph x - 2 > -5 and x - 2 < 4 on a number line

User Vizu
by
3.6k points

1 Answer

4 votes

Answer:

(-3, 6)

Explanation:

Solve x - 2 > -5 for x as follows: Add 2 to both sides, obtaining x > -3. To graph this, find -3 on the number line and put a circle there. Draw a solid line from this circle towards the right.

Solve x - 2 < 4 for x as follows: Add 2 to both sidees, obtaining x < 6. Find 6 on the number line and put a circle there. Draw a solid line from this circle to the left.

Notice that the two lines you've drawn overlap on the interval (-3, 6). This is the desired solution set.

User Life Is Complex
by
3.7k points