Write an inequality for each problem and solve. See ample 8...

Write an inequality for each problem and solve. See ample 8
Russell's first three test scores in Geography were 86
$72,$ and $81 .$ What does he need to make on the fourth test to maintain an average of at least $80 ?$

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Key Concepts

Solving Linear Inequalities

Once an inequality is formed, algebraic manipulation is used to solve for the unknown variable. This involves performing operations such as multiplication, division, or addition on both sides of the inequality to isolate the variable and determine its minimum value.

Inequality Formulation

Setting up an inequality involves expressing a condition where an expression must be greater than, less than, or equal to a certain value. In this problem, the inequality is used to ensure that the calculated average meets or exceeds a specified minimum requirement.

Arithmetic Mean

The arithmetic mean, or average, is calculated by summing all individual values and then dividing by the number of values. In contexts such as test scores, it provides a single value that represents the overall performance across multiple tests.

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