This inequality is true for every real number x. Left side of this inequality is absolute value, which is always greater than or equal to zero, therfore also greater than -4 no matter what the value …

That's because the internal energy of the system increases. Internal energy is the sum of all the energies in a system like kinetic energy of its molecules, potential energy, nuclear energy, …

Therefore, we must always stipulate that #x != 0# with or without the absolute value symbol.

That is, we can find the absolute value of either integral. Be careful! Some graders do not approve of this method. They want you to put the subtraction in the order that will give a positive …

The amplitude is the maximum absolute value of the wave. For sin or cos functions, the amplitude is the coefficient before the trigonometrics.Therefore the amplitude for y=1/4cos ( (2pi)/3theta) …

So, #f (x)# is a concave up parabola and has an absolute minimum value of #2# at #x=0#. The graph of #f (x)# is ahown below.

I don't think that equation is valid. I'm assuming #abs (z)# is the absolute value function

Explanation: Any algebraic problem with absolute values you always have to isolate the absolute value on one side of the equation.

Dec 23, 2016 · Explanation: #| b-5 | = 24# To clear the absolute-value bars, I must split the equation into its two possible two cases, one case for each sign:

x in (-1, 0) Right from the start, you know that your solution interval cannot include x = 1 because that is the one value of x that will make the denominator undefined. So you know that you …