Solve and graph x - 2 > -5 and x - 2 < 4 on a number line

(-3, 6)

Step-by-step 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.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x