Question

Solve the inequality below for x. –3.2(2x – 1) ≤ 17.6

Answer 1

Answer:

x > -9/4

Step-by-step explanation:

Step  1  :

           88

Simplify   ——

           5

Equation at the end of step  1  :

        32                 88

 (0 -  (—— • (2x - 1))) -  ——  < 0

        10                 5

Step  2  :

           16

Simplify   ——

           5

Equation at the end of step  2  :

        16                 88

 (0 -  (—— • (2x - 1))) -  ——  < 0

        5                  5

Step  3  :

Equation at the end of step  3  :

       16 • (2x - 1)     88

 (0 -  —————————————) -  ——  < 0

             5           5

Step  4  

-16 • (2x-1) - (88)     -32x - 72

         5                  5    

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  -32x - 72  =   -8 • (4x + 9)

Equation at the end of step  5  :

 -8 • (4x + 9)

 —————————————  < 0

       5      

Step  6  :

6.1    Multiply both sides by  5

6.2    Divide both sides by  -8

6.3    Divide both sides by  4  

     x+(9/4)  > 0

Answer 2

Answer: x $\geq$ 9.3

Step-by-step explanation:

After of with dividing both sides by -3.2. Then, you will get:

2x - 1 $\geq$ 17.6    note: here the sign switched sides because when dividing or                                                    

                       multiplying by a negative number you have to switch sides

Next add 1 to both of the sides:

2x $\geq$ 18.6

Divide by 2 on both sides to get:

x $\geq$ 9.3

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