Question 19

Jambmaths question: 

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

Option A: 

$-3\le x\le -2$

Option B: 

$-2\le x\le -1$

Option C: 

$1\le x\le 2$

Option D: 

$2\le x\le 3$

Jamb Maths Solution: 

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

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

Testing for the range and validity

 

x$\le $ 2

2$\le $x$\le $3

x$\ge $ 3

(x-2)

-ve

+ve

+ve

(x-3)

-ve

-ve

+ve

product

+ve

-ve

+ve

From the above, the inequality is true within the range $2\le x\le 3$

Jamb Maths Topic: 
Year of Exam: