Points m, j,l and j lie on a line. Point j is between m and l , ml = 11 , kl=14 , and kj=9. What is mj?

We have points on a number lines, numbers basically, we'll call J, K, L and M.

We're interested in the lengths of line segments, which are the absolute differences of the numbers.

We have J between M and L.  Let's say L < J < M.

We have some leeway, let's just pin down L=0.  That's the origin of our number line.

Since ML=|M-L|=11 and L<M we conclude M=11.  Our inequality is

0 < J < 11.

Now we have KL=|K-L|=|K|=14 so K=14 or K=-14

|KJ|=9.

 Case 1: K=14, so 14-J=9 or 14-J=-9  so J=5 or J=23

 Case 2: K=-14 so -14-J=9 or -14-J=-9 so J=-23 or J=-5

We choose J=5 as the only one satisfying L < J < M.

L=0, J=5, M=11, K=14, MJ=|M-J|=|11-5|=6

MJ=6

Let's check ML=11, good, KL=14, good, KJ=9, good.

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!

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a