Define the term linear inequality then explain what it

Question

Question 1. Factor the expression completely (show work)
9a⁴ - 7a²b² - 50b⁴

Question 2. Solve for each of the variables in the 3 equations(show work)(x,y and z are the same in all 3 equations) x = ?, y = ?, z = ?
(3(x+3))/5 + y/2 + 2z = -1
x/3 + (5y-2)/4 + z = 0
x - (2(y+1))/3 - 3z = -2

Question 3. Using matrix algebra techniques, find a general solution of the system:
x'=3x-4y
y'=4x-7y

Question 4. Let X be a set of finite (positive) measure. Let C be the collection of all finite subsets of X and their complements in X. Is C an algebra of sets? Is C a σ-algebra? Explain.

Question 5. What is meant by the x- and y-intercept in a linear equation? Find the x- and y- intercepts for the linear equation 3x - 4y =12. What are the points on a graph for the x- and y-intercepts?

Question 6. Define the term linear inequality, then explain what it means to solve a linear inequality. Explain how the solution to the inequality 2x-5<25 differs from the solution to the equation 2x-5=25?