jeanniebyrd1954
jeanniebyrd1954 jeanniebyrd1954
  • 03-10-2018
  • Mathematics
contestada

Simply answer 2/5<_x-4

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-10-2018

We want to solve


[tex]\frac{2}{5}\le x-4[/tex]


We need to clear the fraction first by multiplying through with the LCM, which is 5.


[tex]5\times \frac{2}{5}\le 5x-5\times4[/tex]



[tex]2\le 5x-20[/tex]


Grouping like terms gives,



[tex]2+20 \le 5x[/tex]




[tex]\Rightarrow 22 \le 5x[/tex]


Dividing through by 5 gives,



[tex]\frac{22}{5} \le x[/tex]



We can rewrite this as


[tex]x\ge \frac{22}{5}[/tex]


OR


tex]x\ge 4\frac{2}{5}[/tex]






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