Solve the inequality: 3(x + 1) ≤ 5(x + 2) + 15
x ≥ -14
x ≤ - 14
x ≥ -11
x ≤ - 11
Correct answer is C
3(x + 1) ≤ 5(x + 2) + 15
3x + 3 ≤ 5x + 10 + 15
3x - 5x ≤ 10 + 15 - 3
-2x ≤ 22
x ≥ −222
x ≥ -11
Given that = {x: -2 < x ≤ 9}, where x is an integer what is n(T)?
9
10
11
12
Correct answer is C
T = {-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
n(T) = 11
The sum of 6 and one-third of x is one more than twice x, find x
x = 7
x = 5
x = 3
x = 2
Correct answer is C
6 = 13x = 1 + 2x
6 = 1 = 2x1−x3
5 = 6x−x3=5x3
5 = 5x3
3 x 5 = 5x
15 = 5x
x = 155
= 3
Given that P = {x : 1 ≤x≤6}, and Q = {x : 2 ≤x≤10} where x is an integer. Find n(P ∩ Q)
5
6
8
10
Correct answer is A
P = {1, 2, 3, 4, 5, 6}; Q = {3, 4, 5, 6, 7, 8, 9}
P ∩ Q) = {2, 3, 4, 5, 6}
n(P ∩ Q) = 5