What type of transformation transforms a, b -a, b

 The required transformation is the REFLECTION ACROSS Y-AXIS.

Step-by-step explanation: We are given to state the type of transformation described a follows :

We note the given transformation that the sign before the x co-ordinate changes.

This transformation gives the reflection of the point across y axis.

For example, if (a, b) = (1, 2), then after reflection across y axis, the point become

These two points are plotted on the co-ordinate plane as shown in the attached figure below.

Thus, the required transformation is the REFLECTION ACROSS Y-AXIS.

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

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!