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Solve and graph the inequality -3a+8<20

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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.

Solve and graph the inequality -3a+8<20-example-1
User Stephen Darlington
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