Question

I need help solving an inequality.

-6(8-7p<-48

Answer 1

your expression is not quite completed. where is the close bracket ) ?

Answer 2

-6(8-7p)<-48

Answer 3

Step 1: expanse the expression
-6x8 -6x(-7p) < -48
-48 + 42p < -48
step 2: add both side of inequation by 48 to keep the term with p by it self
it gives : 42p < 0
Step 3: divide both side by 42 get:

p < 0.

Note: when we do division or multiplication to a negative number ( <0). The direction of inequation has to be reversed.
Look at this example : 1 < 2 is a true statement
now multiply both side by a negative number, let say -2
LHS become : (-2)*1 = -2 and RHS become : (-2)*2 = -4.
clearly -2 > -4, which is why when multiply(or devide) by a negative number, the direction of inequation has to be reversed.