I've seen some equations and inequalities that have no solution. Examples of these are 3 m + 4 = 3 m − 9 128 y − 10 &lt; 128 y − 25 10 t + 45 ≥ 2 ( 5 t + 23 )The third example evaluates to 10 t + 45 ≥ 10 t + 46Why do some equations or inequalities have no solution?

Question

I&#039;ve seen some equations and inequalities that have no solution. Examples of these are  3  m  +  4  =  3  m  −  9  128  y  −  10  &amp;lt;  128  y  −  25  10  t  +  45  ≥  2  (  5  t  +  23  )The third example evaluates to  10  t  +  45  ≥  10  t  +  46Why do some equations or inequalities have no solution?

Taniya Wood · Accepted Answer

Step 1Have a look here for Inequality Properties, it is important to grasp the concepts early for this.Basically, you can say, if:  10  t  +  45  ≥  10  t  +  46Then, by subtracting 10t from both sides:  10  t  +  45  −  10  t  ≥  10  t  +  46  −  10  tWe&#039;d get:  45  ≥  46Which, as we know, is a false statement. There is no value (or range of values) for t to make the original inequality true.

I've seen some equations and inequalities that have no solution. Examples of these are 3 m +

Answered question

Answer & Explanation

New Questions in Pre-Algebra