Raymond B. answered • 04/08/22
Math, microeconomics or criminal justice
a x=6/5 and 9
just set each factor equal to zero and solve for x
b both factors cannot be the same sign, so either 5x-6>0 and x-9<0 or the reverse, x-6<0 and x-9>0
two possible solutions: x>6/5 and x<9
and x<6/5 and x>9, but the 2nd solution is impossible
the 1st solution is 6/5 < x < 9
in interval notation the solution is (6/5, 9)
c same as b solution above but 6/5 < x < 9 or [6/5, 9]
(assuming by </ you mean less than or equal to)
d. both factors must be the same sign, either both positive or both negative
either 5x-6>0 and x-9>0, which means x>6/5
or 5x-6<0 and x-9<0 which means x<6/5
in interval notation the two solutions are (6/5, infinity) U (-infinity, 6/5)
x= any real number, except 6/5
e same solution as above in d, but include the end points [6/5, infinity) U (-infinity, 6/5] which is the same as any real number, (-infinity, +infinity)
assuming by /> you mean equal to or greater than
