melisademirel melisademirel
  • 30-07-2017
  • Mathematics
contestada

i need to know the solution using a fraction or integer to 3 more than the product of 7 and a number x is less than 26

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jdoe0001 jdoe0001
  • 30-07-2017
so.. the number is "x", now, the product of "x" and 7 is just 7*x or 7x.

3 more than that? is just 7x + 3

so, we know is less than 26, 7x + 3 < 26

[tex]\bf 7x+3\ \textless \ 26\implies 7x\ \textless \ 26-3\implies 7x\ \textless \ 23\implies x\ \textless \ \cfrac{23}{7} \\\\\\ \boxed{x\ \textless \ 3\frac{2}{7}}\qquad \qquad 3\frac{2}{7}\implies \cfrac{3\cdot 7+2}{7}\implies \cfrac{23}{7}[/tex]
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