The solution to system of inequalities is y ≥ (-2/3)x -6 and y ≤ (-7/3)x +8.
<h3>What is an Inequality ?</h3>
An Inequality is the mathematical statement formed when two algebraic expression is equated by an inequality operator ,< , > , <> etc.
In the given system of Inequality
To determine the system of inequality represented by the two inequality
We will try trial and error method
Option A is y ≥ (-2/3)x -6
y ≤ (-7/3)x +8
When x is taken as 0 in bot the statements
y≥ -6 (true)
y ≤ +8 (true)
As both the Inequalities is true therefore the solution to system of inequalities is y ≥ (-2/3)x -6 and y ≤ (-7/3)x +8 .
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