1.the sum of a number and fourteen is less or equal to three times the number
2.negative three times a number increased by seven is less than negative eleven

[tex]1.\\
x-number\\
x+14 \leq 3x\ |-x\\
14 \leq 2x\ |:2\\
x \geq 7\\\\\\
2.\\ -3x+7<-11\ |-7\\
-3x<-11-7\\
-3x<-18\ |:(-3)\\ After\ division\ by\ negative\ number\ "<"\ changes\ into\ ">"\\
x>6
[/tex]