Q60. - Algebra 2

Question

Determine whether (0, 0) satisfies each inequality. Write yes or no.

$y<2x+3$

Step-by-Step Solution

Answer

Yes, $(0,0)$satisfies the inequality.

Step-1 &ndash;Inequality.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

Step-2 &ndash; Substitute the respective value of x and y .

Solve the inequality for $(0,0).$

$\begin{array}{l}y<2x+3\\ 0<2\left(0\right)+3\end{array}$

Step-3 &ndash; Simplify the inequality.

$\begin{array}{l}0<0+3\\ 0<3\end{array}$

Yes, $(0,0)$ satisfies the inequality.