How do I solve the inequality (x² + 7x + 12 ≤ 0) for x?
I get to x² + 7x ≤ -12 but i don't know how to progress from there, if I even have that first bit right. The answer is supposedly -4 ≤ x ≤ -3 but how?
More Questions From This User See All
Answers & Comments
Verified answer
Hi,
at first we find the roots
x² + 7x + 12 = 0
(x + 4)(x + 3) = 0
when x<-4 and x>-3 ==> x² + 7x + 12 ≥ 0
AND when -4 ≤ x ≤ -3 ==> x² + 7x + 12 ≤ 0