4.Two consecutive even numbers are such that the sum of the larger number and three times the smaller number is 42. Find the two numbers.

The two numbers are 10 and 12.

Step-by-step explanation:

Let the two consecutive numbers are x and x +2.

As per given, we have

Smaller number = 10

Larger number = 10+2=12

Therefore, The two numbers are 10 and 12.

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!