Linear Inequalities (Dual)
In this lesson, you will learn how to solve linear double inequalities through four examples by splitting them into two separate inequalities and solving each step by step. You will then use a number line to combine both solutions into a single final answer.
Related Lessons:
Example 1
Find the range of values of \(x\) which satisfy the inequality \(4𝑥−12<21+𝑥≤4𝑥+7\)
Example 2
Solve the inequalities \(𝑥−2<9≤2𝑥+1
\) and show the solution on a number line.
Example 3
Find all the integer values of \(x\) which satisfy the inequalities \(−3<\frac{(2𝑥+1)}{4}<4\) and \(x+1>4\)
Example 4
A packet of sweets is shared amongst 3 students. Jacky has number of sweets. Betty has 15 sweets more than Jacky. Kenneth has 4 times more sweets than Betty.
- Write down an expression, in terms of , for the total number of sweets in the packet.
- Given that the total number of sweets in the packet cannot be more than 87, write down an inequality in terms of .
- Hence, find the largest possible number of sweets Betty can have.