-2 x + 4 > 0

Question

on a number line

Answer 1

To graph the inequality -2x + 4 > 0 on a number line, we first need to solve for x:

-2x + 4 > 0
-2x > -4
x < 2

Now, we can represent x < 2 on a number line by drawing an open circle at 2 (since x cannot be equal to 2) and shading to the left of 2. This shows all the values of x that satisfy the inequality -2x + 4 > 0.

Here is how it would look on a number line:

---o---->----------------------------

In this graph, the open circle represents x = 2, and the shaded part to the left of 2 represents all values of x less than 2 that satisfy the inequality -2x + 4 > 0.