Solving Inequality Problems

Since we are not including where it is equal to, an open hole was greater than or equal to -5' means that if we put any number greater than or equal to -5 back in the original problem, it would be a solution (the left side would be greater than or equal to the right side).A manufacturer has 600 litres of a 12 percent solution of acid.

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Quantity of solution at present = 600 liters Quantity of acid in liters in existing solution = 12% of 600 = (12/100) 600 = 72 liters Let "x" be the required quantity of solution to be added.

Acid level in x liters of solution = 30% of x = (30/100)x = 0.3x From this, we come to know that the resulting mixture will contain (600 x) liters solution and (72 0.3x) liters acid.

Even the best athletes and musicians had help along the way and lots of practice, practice, practice, to get good at their sport or instrument.

To get the most out of these, you should work the problem out on your own and then check your answer by clicking on the link for the answer/discussion for that problem.

Graph: Since we needed to indicate all values greater than or equal to -5, the part of the number line that was to the right of -5 was darkened.

Since we are including where it is equal to, a closed hole was used.To solve an absolute value equation as $$\left | x 7 \right |=14$$ You begin by making it into two separate equations and then solving them separately.$$x 7 =14$$ $$x 7\, \, =14\, $$ $$x=7$$ or $$x 7 =-14$$ $$x 7\, \, =-14\, $$ $$x=-21$$ An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.At the link you will find the answer as well as any steps that went into finding that answer.The absolute number of a number a is written as $$\left | a \right |$$ And represents the distance between a and 0 on a number line.Note that the inequality sign stayed the same direction.Even though the right side was a -10, the number we were dividing both sides by, was a positive 5.Multiplying or dividing both sides by the same positive value does not change the inequality.Graph: Since we needed to indicate all values less than -2, the part of the number line that was to the left of -2 was darkened.Graph: Since we needed to indicate all values less than or equal to 4, the part of the number line that was to the left of 4 was darkened.Math works just like anything else, if you want to get good at it, then you need to practice it.


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