Considering the definition of an inequality, the solution of the inequality is a> -4 and the graph is attached.
Definition of inequality
An inequality is the existing inequality between two algebraic expressions, connected through the signs:
- greater than >.
- less than <.
- less than or equal to ≤.
- greater than or equal to ≥.
An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this case
The inequality is
-3a+8<20
Solving:
-3a<20 -8
-3a< 12
An inequality changes its meaning when it is multiplied by the same negative factor, or divided by the same divisor, also negative.
a> 12÷(-3)
a> -4
Finally, the solution of the inequality is a> -4 and the graph is attached.