How to Solve 5-ABS(x 3)>9 for X. (Algebra for Student Nurses)

Many times, Students of Mathematics learn best by first seeing an Example done. Then after much practice and, trial and error, we can generalize the method to that particular type of problem and come with a Formula that makes our work easier. That is the object of this Article.

Things You'll Need

• Paper
• and Pencil

Instructions

1. 

   To solve the Inequality (5-ABS(x+3)>9, we must first Subtract 5 from both sides of the Inequality Sign, so that the Absolute Value Expression is alone. [5-5-ABS(x+3)>9-5]. When we combine Like Terms, we get [-ABS(x+3)>4]. Please click on the image for a better understanding.

2. 

   Now, we must divide both sides of the inequality by (-1). When we divide an inequality by a negative number, we have to reverse the inequality sign. This will give us the inequality [ABS(x+3)<-4]. Please click on the image for a better understanding.

3. 

   The Absolute Value of Any Number will ALWAYS be a Positive number or Zero. This means that The Absolute Value of Any Number, CANNOT be LESS than a negative number. Hence, This inequality has NO SOLUTION for x. that is there is no Number x, that will satisfy this Inequality. Please click on the image for a better understanding.