trying to get help to solve this inequality, I have to write it in interval notation and graph on a number line

Question

-1(2/5x)-(8/5) >33/10

 

if you can put it in interval notation thank you

Answer 1

If this is [-1 * (2/5)x] - 8/5 > 33/10, then it follows that:

 

(-2/5)x - 8/5 > 33/10

 

Now multiply both sides of the inequality by 10 to clear fractions

 

-4x - 16 > 33

 

-4x > 49   when we add 16 to both sides

 

Now divide by -4 and remember that when dividing by a negative number across an inequality, the inequality symbol flips, which gives us:

 

x < -49/4

 

This says that x is less than all numbers less than -49/4, which goes off to negative infinity.

 

Interval notation would be:

 

(-∞, -49/4)