Chapter 3.7, Problem 8PSA

To determine

We need write here an inequality to describe the restrictions on x

Explanation of Solution

Given information: $m\angle P+m\angle R<180$ and $PQ<QR$ is provided in the question which will help to find the solution.

Proof: Here, $PQ<QR$ (given)

Now, According to question

  ${\left(7x-18\right)}^{\circ }+{\left(4x\right)}^{\circ }<{180}^{\circ }$

  →${\left(11x\right)}^{\circ }<{198}^{\circ }$

  →$x<{18}^{\circ }$

So that, x should not be greater than ${18}^{\circ }$