Please help me! I'm stuck and really confused, thank you so much!

(a)

(b)

(c)

(d)

(e)

Step-by-step explanation:

Solving (a):

Given

Required

Express as a product

Express 10x as 5 * 2x

Apply distributive property

So:

Solving (b):

Given

Required

Express as a product

Express 2x and 3x as 2 * x and 3 * x, respectively

Apply distributive property

So:

Solving (c):

Given

Required

Express as a sum/difference

Apply distributive property

Solving (d):

Given

Required

Express as a sum/difference

Apply distributive property

Solving (e):

Given

Required

Express as a product

Factorize

Apply distributive property

So:

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!

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step-by-step explanation: