Chapter 6, Problem 4CA

To determine

To fill: in the inequality with $<,\le ,>,$ or $\ge$ so that the system of linear inequalities has no solution.

Answer to Problem 4CA

Fill the inequality with >, so that the system of linear inequalities has no solution.

Explanation of Solution

Given information: Inequality 1 $y-2x\le 4$

Inequality 2 $6x-3y$ ………… $-12$

Calculation:

Inequality 1 $y-2x\le 4$ $\Rightarrow$$y-2x>4$ has no solution.

Inequality 2 $6x-3y$ ………… $-12$

Divide both sides -3

  $y-2x$ ………….. 4 $\Rightarrow y-2x>4$ has no solution.

Therefore, fill the inequality with > so that the system of linear inequalities has no solution.