Question 18

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Jambmaths question: 

Solve the quadratic inequality ${{x}^{2}}-5x+6\ge 0$

Option A: 

$x\le 2,x\ge 3$

Option B: 

$x\le 3,x\ge 2$

Option C: 

$x\le -2,x\ge -3$

Option D: 

$x\le -3,x\ge 2$

Jamb Maths Solution: 

${{x}^{2}}-5x+6\ge 0$

$(x-2)(x-3)\ge 0$

We need to determine the range for which the inequality is true

 

$x\le 2$

 

$2\le x\le 3$

$x\ge 3$

$(x-2)$

+

+

$(x-3)$

+

$(x-2)(x-3)$

+

+

The range is $x\le 2$or $x\ge 3$

Jamb Maths Topic: 
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