Fill in the blanks to make the number sentence thue . —/3*11> 11. and. 5*——/8< 5

1)for x > 3  statement (1) is true.

2) for y < 8  statement (2) is true.

Step-by-step explanation:

 Given : two sentences.

1)

2)

We have to find for what values of x and y the statement are true.

Consider

1)  

We solve for x ,

Divide both side by 11, we get,

Now, multiply both side by 3, we get,

Thus, for x > 3  statement (1) is true.

2)

Here, we solve for y ,

Divide both side by 5, we get,

Now, multiply both side by 8, we get,

Thus, for y < 8  statement (2) is true.

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!