Which of the following number lines represents the inequality given below x/72 <0.3

Answer 1

The inequality x/72 < 0.3 states that x divided by 72 is less than 0.3. To represent this inequality on a number line, we can start by finding the solution for x.

We begin by multiplying both sides of the inequality by 72 to isolate x, giving x < 0.3 * 72, which simplifies to x < 21.6.

To represent this on a number line, we draw an open circle at 21.6 since the inequality is less than (not less than or equal to), and shade the region to the left of 21.6.

Out of the given number lines, the one that represents the inequality x/72 < 0.3 is the one where the open circle is located at 21.6 and the shade is on the left side of the open circle.