Question

What would be the inequality of 2(4x – 3) ≥ –3(3x) + 5x?

Answer 1

Answer:

Rearrange the equation by subtracting what is to the right of the greater equal sign from both sides of the inequality :

                2*(4*x-3)-(-3*(3*x)+5*x)≥0 

Step by step solution :STEP1:Equation at the end of step 1 2 • (4x - 3) - -4x ≥ 0 STEP2:STEP3:Pulling out like terms

 3.1     Pull out like factors :

   12x - 6  =   6 • (2x - 1) 

Equation at the end of step3: 6 • (2x - 1) ≥ 0 STEP4:

 4.1    Divide both sides by  6 

 4.2    Divide both sides by  2  

      x-(1/2)  ≥ 0

Solve Basic Inequality : 4.3    Add  1/2  to both sides

 x ≥ 1/2

Inequality Plot : 4.4    Inequality plot for

12.000 X - 6.000 ≥ 0

One solution was found :

 x ≥ 1/2