Question

1.Solve the inequality (x-2)(x+1) ≥ 0 .

2. Find the solution set of the following inequality
3|2 + 1| ≤ 6

3. Solve simultaneously:
a) y = x2
and y = 2x + 3
b) y = 8 – x and xy = 7

Answer 1

#1: inequality form: x ≤ –1 or x ≥ 2

interval notion: ( -∞,-1] U [2,∞)

#2: false/no solution

#3: A) point form: (3,9)(-1,1)

equation form: x= 3,y=9 and x= -1,y=1

B)point form: (1,7)(7,1)

equation form: x=1,y=7 and x=7,y=1

Explanation:

#1: solve for x by simplifying both sides of the inequality, then isolating the variable.

#2: N/A

#3: solve for the first variable in one of the equations, then substitute the results into the other question.