Inequalities (Single) Practice 1

In this lesson, we will work through 5 carefully curated practice questions on solving linear inequality equations. Through these questions, students will strengthen their understanding of the concepts and improve their problem-solving skills in this chapter.

Practice 1 - Question 1

Find the largest integer for the inequality \(4\left(x-7\right)+2x\le11\)

Practice 1 - Question 2

By solving the inequality \(4-3x\geq-15\), state the greatest rational number and represent its solution on a number line.

Practice 1 - Question 3

Given that \(x\) and \(y\) are integers such that \(-3<x<5\) and \(1\le y\le8\), find the smallest value of \(2xy\).

Practice 1 - Question 4

Given that \(\frac{1}{3}\left(5x-2\right)>-4\). By solving the inequality, state the smallest integer that satisfies the above inequality.

Practice 1 - Question 5

A rectangle has breadth of \(x\ cm\) and length that is 3 times its breadth. If the perimeter of the rectangle is less than 150 cm, by expressing the perimeter of the rectangle in term of \(x\) using an inequality, find the maximum length of its breadth if the length and breadth are integers.

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