solve the inequality x(x-4)<0?

Question

it needs to be in intergral form like ( x,x) or (x,x) U (X,X)

Answer 1

it is any number smaller then 4, for example 3.99999 or 2, or 0.00001, BUT NOT zero itself!!! (0=0, and not 0<0)

So x<4 is WRONG, the answer is:
x<4 AND x is not equal to 0
BUT x CANNOT be a negative number either, as -1(-1-4)=5!!

So the final answer is:
x<4 and x>0 --- any figure will match your condition

Thanks for the math!

Answer 2

x<4

Answer 3

First solve x(x-4) = 0
By inspection, the solutions are x = 0 and x = 4.
If x < 0, then x(x - 4) >= 0 because it's a negative number times a negative number. If x > 4, x(x - 4) <= 0 because it's a postive number times a postive number. So 0 < x < 4 is your answer, because (x - 4) will be negative and x will be positive, giving a negative product.

Answer 4

0.4x + 5 < a million.2x – 4 you're letting the decimal fractions get on your way. keep in mind 0.4 = 4/10 and a million.2 = 12/10 Multiply both section through 10 (the Least instantly ahead Denominator). provided that 10 is efficient the “sense of the inequality” will proceed to be an same: 10(0.4x + 5) < 10(a million.2x – 4) 4x + 50 < 12x – 40 assemble the variable phrases to at least one section 4x + 50 – 4x + 40 < 12x – 40 – 4x + 40 simplify ninety < 8x divide both section through 8 ninety/8 < x note that his is an same technique you would use to remedy 0.4x + 5 = a million.2x – 4. We only ought to pay attention of multiplication or branch through a adverse. ninety/8 = 11 a million/4 = 11.25 i will not see your blunders.

Answer 5

0

Answer 6

x2 (x squared)<0

Answer 7

x is equal to or less than 3