How do you write an inequality and solve given "the sum of nine times a number and fifteen is less than or equal to the sum of twenty four and ten times the number"?

Question

8365 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-02T22:46:30

The inequality for this is #9x+15<=24+10x#.

Now that we know what our inequality is, we can now solve for #x#. To do this, we have to subtract 24 from each side:

#9x+15-24<=24+10x-24#

#9x-9<=10x#

Next, let's subtract #9x# from each side:

#9x-9-9x<=10x-9x#

#-9<=9x#

Finally, let's divide each side by 9 to get our answer:

#-9/9<=(9x)/9#

#-1<=x#