Question

Question 4(Multiple Choice Worth 1 points) (03.05 MC) What does > −2 indicate about the position of and −2 on the number line? is located on the right of −2 is located on the left of −2 is located on the right of 0 and −2 is located on the left of 0 is located on the left of 0 and −2 is located on the right of 0

Answer 1

Corrected Question

What does $-\dfrac35>-2$ indicate about the position of $-\dfrac35$ and −2 on the number line?

Options

negative 3 over 5 is located on the right of −2

negative 3 over 5 is located on the left of −2

negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0

negative 3 over 5 is located on the left of 0 and −2 is located on the right of 0

Answer:

(A)negative 3 over 5 is located on the right of −2

Step-by-step explanation:

Given the inequality: $-\dfrac35>-2$

On a number line, numbers are written from the left to the right in ascending order.

Therefore:

• Any number y to the right of another number x is greater than x, y>x.
• Any number a to the left of another number x is less than b, a<b.
• Negative numbers are to the left of 0.

In the given inequality  $-\dfrac35>-2$ , both numbers are negative and are therefore to the left of 0.

However, since $-\dfrac35$ is greater than -2, it is located to the right of -2 .

The correct option is A.