Use the number line to compare the numbers -1/2 , -1 9/10, 3/5, 0.4

which choice lists the numbers in increasing order?

a. -1/2, -1 9/10, 3/5 , 0.4

b. -1 9/10, 3/5, - 1/2, 0.4

c. -1 9/10, - 1/2, 0.4, 3/5

d. -1 9/10, - 1/2, 3/5, 0.4

C. -1 9/10, -1/2, 0.4, 3/5

Step-by-step explanation:

Using a number line, we can see that negative numbers are to the left of '0' and positive numbers are to the right of '0'.  To compare numbers for increasing order, we would start with the lowest number to the farthest left on the number line to the greatest number to the farthest right.  Placing the following numbers on the number line, the furthest to the left is -1 9/10, then -1/2, followed by 0.4 and then the greatest, 3/5.  You can also compare by converting them all into decimals:

-1 9/10 = -1.9

-1/2 = -0.5

0.4 = 0.4

3/5 = 0.6

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!