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Solve for x.
4x – 4 < 8 AND 9x + 5 > 23

2<x<3

Step-by-step explanation:

4x – 4 < 8 AND 9x + 5 > 23

Solve them separately and then put back together

4x – 4 < 8

Add 4 to each side

4x – 4+4 < 8+4

4x <12

Divide by 4

4x/4 <12/4

x <3

9x + 5 > 23

Subtract 5 from each side

9x+5-5 >23-5

9x>18

Divide each side by 9

9x/9 >18/9

x>2

2<x and x<3

2<x<3

first one because it can't have a fraction in it

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.