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yarga [219]
3 years ago
9

Solve the following inequality: –1 > –2(x – 4) – 5(4x – 7).

Mathematics
2 answers:
Mashcka [7]3 years ago
7 0
Rearrange:

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

                -1-(-2*(x-4)-5*(4*x-7))>0 

Step by step solution :<span>Equation at the end of step  1  :</span> -1-((0-(2•(x-4)))-5•(4x-7)) > 0 <span>Step  2  :</span><span>Equation at the end of step  2  :</span> -1-((0-2•(x-4))-5•(4x-7)) > 0 <span>Step  3  :</span><span>Step  4  :</span>Pulling out like terms :

<span> 4.1 </span>    Pull out like factors :

   22x - 44  =   22 • (x - 2) 

<span>Equation at the end of step  4  :</span> 22 • (x - 2) > 0 <span>Step  5  :</span>

<span> 5.1 </span>   Divide both sides by <span> 22 

</span>

Solve Basic Inequality :<span><span> 5.2 </span>   Add <span> 2 </span> to both sides

<span> x > 2</span>

</span>Inequality Plot :<span><span> 5.3 </span>   Inequality plot for

22.000 X - 44.000 > 0

</span>One solution was found :                  <span> <span>x > 2     100% sure</span></span>
nirvana33 [79]3 years ago
7 0
Answer is B. x > 2 
hope it helps

<span>–1   > –2(x – 4) – 5(4x – 7)
</span><span>–1   > –2x + 8 – 20 x + 35
</span>–1   > -22x + 43
22x > 44
    x > 44/22
    x > 2
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