tutorial 3 mth3200
DESCRIPTION
Tutorial MTH3200TRANSCRIPT
-
MTH3200
Tutorial 3
1. Solve:
a) 3 2
41
x
x
+ i) 2543 =+ xx
b) 4
13 x
f) 3
2
(5 3)0
(8 25)
x
x
j) 543 < xx
c) 2
24 10
x
x>
g) 3 1
21
x
x
+
k) 36 =x
d) 4
3 45
x
l) 6 1
31
x
x
+
2. Write the solution for each of the following inequality in interval form and then sketch the solution on a number line.
a) 2 6 16 8x x+ + d) 4 5
1 92
x < e) 1 3
2 6x x
+
h) 4 7
2 53
xx
+ +
c) 5
13
x
x
>
+
f) 15437
3. Let , , , ,a b c d then prove:
a) ( ) ( )a b c a b c+ = + e) a b a b+ +
b) If ac bc= , and 0c , then a b= f) a b a b
c) a a a
b b b
= =
( 0)b g) a b c < iff b c a b c < < +
d) If ,a
db
= ( 0)b then a bd= h) ( ) ( ) ( )c a c a + = +