Question

medium

1. tell whether the ordered pair is a solution

to the system of linear inequalities:
(0, 0) \t\t$y \leq x + 7$
\t\t\t$y \geq 2x + 3$

Explanation:

Step1: Check first inequality

Substitute \(x = 0\), \(y = 0\) into \(y\leq x + 7\).
We get \(0\leq0 + 7\), which simplifies to \(0\leq7\). This is true.

Step2: Check second inequality

Substitute \(x = 0\), \(y = 0\) into \(y\geq2x + 3\).
We get \(0\geq2(0)+ 3\), which simplifies to \(0\geq3\). This is false.
Since the ordered pair does not satisfy both inequalities, it is not a solution to the system.

Answer:

The ordered pair \((0,0)\) is not a solution to the system of linear inequalities.