Mathematics
cantika55555
56

The sum of a number and fourteen is less than or equal to three times the number

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(2) Answers
rekeyia21

x + 14 < 3x x + 14 < 3x -x           -x       14 < 2x      ÷2     ÷2          7 < x x is 7 or more. To check: x = 7                         x = 8 x + 14 < 3x             x + 14 < 3x 7 + 14 < 3(7)           8 + 14 < 3(8) 21       < 21                  22 < 24

BeataStezzi458

The unknown number will be x. So the sum of x and 14 is x+14 And x+14 is less than or equal to 3 times the number (which is x). So x+14 is less than or equal to 3x. The "less than or equal to symbol is [latex] \leq [/latex] The equation now looks like [latex]x+14 \leq 3x\\\\ Subtract\ x\ on\ both\ sides.\\ 14 \leq 2x\\\\ Divide\ by\ 2\ on both\ sides.\\ 7 \leq x\\\\ \fbox {x \geq 7}\\[/latex] [latex]\boxed{x \geq 7}\boxed[/latex]

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