Question

Solve the equation:

`- 5r + 6 \leqslant - 5(r + 2)`
​

Answer 1

`\mathrm{No\:Solution}`

Explanation:

`-5r +6 \leq -5(r+2)\\\\Expand \\\\-5r+6\le \:-5r-10\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\-5r+6-6\le \:-5r-10-6\\\\Simplify\\-5r\le \:-5r-16\\\\\mathrm{Add\:}5r\mathrm{\:to\:both\:sides}\\-5r+5r\le \:-5r-16+5r\\\\Simplify\\0\le \:-16\\\\\mathrm{Therefore,\:the\:solution\:is}\\\mathrm{No\:Solution}`