Download Tutorial 05 Inequalities(student)

CMV6120
Foundation Mathematics
Tutorial 5
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Inequalities
Solve 2(3x  2)  4(2 x  3)
11  2 x
x2
Solve 2 x  5 
or x  2 
5
4
Solve 6 x 2  5 x  1  0
Solve 4 x 2  4 x  3  0
Solve ( x  1) 2  3x  5
Solve x( x  2)  4( x  2)
Simple applied problems involving inequalities.
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Find the value for k if the equation x 2  kx  9  0 has
two distinct real roots
Find the value for k if the equation x 2  kx  9  0 has
no real roots
The product of two consecutive positive integers is less
than or equal to 6. Find the possible values of the
integers.
Unit 5: Linear and quadratic Inequalities in one variable
Explanation
Explanation
Explanation
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CMV6120
Foundation Mathematics
Numerical Solutions
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x > -4
x > -2
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1
or x  
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3
no solutions
all real numbers
x < 2 or x > 4
k < -6 or k > 6
no solutions for k
The possible solutions are (1,2) and (2,3)
x
Unit 5: Linear and quadratic Inequalities in one variable
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