Solving a word problem using a system of linear inequalities
1 answer:
Inequalities help us to compare two unequal expressions. The shaded potion can be made as shown below.
<h3>What are inequalities?</h3>Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Rita does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 11 hours. She spends at most 7 hours on weight training. She spends at most 8 hours doing cardiovascular work.
Therefore, For the given condition let x denote the time (in hours) that Rita spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training.
Now, the inequalities can be written as,
x + y > 11
x ≤ 7
y ≤ 8
Hence, the shaded potion can be made as shown below.
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