Question

Solve for x.

Answer 1

Answer:b

Step-by-step explanation:

Step  1  :

           x

Simplify   —

           4

Equation at the end of step  1  :

 x    

 — -  -8  ≥ 0  

 4    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         -8     -8 • 4

   -8 =  ——  =  ——————

         1        4    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (-8 • 4)     x + 32

————————————  =  ——————

     4             4    

Equation at the end of step  2  :

 x + 32

 ——————  ≥ 0  

   4    

Step  3  :

3.1    Multiply both sides by  4  

Solve Basic Inequality :

3.2      Subtract  32  from both sides

           x ≥ -32

Inequality Plot :

3.3      Inequality plot for

        0.250 x  + 8.000  ≥  0

 

 

One solution was found :

                  x ≥ -32

Answer 2

Answer:

Step-by-step explanation:

4x≥−8

x≥−8/4

x≥−2