Question

Solve 5-2x > 4, then represent on a number line​

Answer 1

Answer:  x < 1/2 or x < 0.5

The graph is below

=========================================================

There are two ways to solve this

Method 1

5 - 2x > 4

-2x > 4-5

-2x > -1

x < -1/(-2) .... note the inequality sign flips

x < 1/2

x < 0.5

The inequality sign flips whenever we divide both sides by a negative number.

----------------------

Method 2

5 - 2x > 4

5 - 2x+2x > 4+2x

5 > 4+2x

4+2x < 5

2x < 5-4

2x < 1

x < 1/2

x < 0.5

----------------------

To graph this on a number line, we'll plot an open hole at 1/2 or 0.5 on the number line. Then we shade to the left to represent all values smaller than 1/2 = 0.5

The open hole signals that 0.5 itself is NOT part of the solution set.

See the diagram below.