Question 1
Further Mathematics
If P = {x:1 ≤ x ≤ 6} and Q = {x: 2 < x < 9 },where x ∈ R, find P ∩ Q.
{x:1 ≤ x < 6}
{x:2 < x < 6}
{x:2 ≤ x ≤ 6}
{x: 2 < x ≤ 6}
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Question 1
If P = {x:1 ≤ x ≤ 6} and Q = {x: 2 < x < 9 },where x ∈ R, find P ∩ Q.
{x:1 ≤ x < 6}
{x:2 < x < 6}
{x:2 ≤ x ≤ 6}
{x: 2 < x ≤ 6}
Question 2
Solve the inequality 2x2 + 5x - 3 ≥ 0.
-1/2 x ≤ x ≤3
-3 ≤ x ≤ 1/2
x ≤ -3 or x ≥ 1/2
x ≤ -1/2 or x ≥3
Question 3
Simplify
1/8
-4
1/4
4
Question 4
If (x - 3) is a factor of 2x3 + 3x2 - 17x - 30, find the remaining factors.
(2x-5)(x-2)
(2x+5)(x-2)
(2x-5)(x+2)
(2x+5)(x+2)
Question 5
A binary operation * is defined on the set R of real numbers by a*b = , find the value of
1
2
3
4
Question 6
Two functions f and g are defined by f : x → 3x - 1, g: x → 2x3, find fg (- 2).
-9
-47
-49
-10
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