Q47. - Algebra 2

Question

Solve the system of inequality by graphing 

$\begin{array}{c}47.3x-2y\le -6\\ y\le \frac{3}{2}x-1\end{array}$

Step-by-Step Solution

Answer

The solution of the inequality is null because the graph do not overlap, so the solution have no points in common and there is no any solution of the inequality.

Step-1 – Apply the concept of graphing

A diagram showing the relationship of quantities, especially such a diagram in which lines, bars, or proportional areas represent how one quantity depends on or changes with another. 

A curve or a line showing a mathematical function or equation, typically drawn in a Cartesian co-ordinate system

Step-2 – Evaluate the expression

Graph both the inequality.

The graphs do not overlap, so the solutions have no points in common.

The lines do not intersect. Their graphs are parallel lines, so there are no solutions that satisfied both equations.

This system is inconsistent.

Thus, The solution of the inequality is null because the graph do not overlap, so the solution have no points in common and there is no any solution of the inequality.

Step-3–Graphical Interpretation

The graphs of the inequalities shows that, there is no solution of the inequalities and the graphs of inequalities are parallel to each other.