Question

How can one solve compound inequality ?

Answer 1

Hint: For solving the given compound inequality . We just need to remember to apply all of our operations to all the parts present in the corresponding compound equality , like adding ,subtracting , multiplying and others .

Complete solution step by step:
The expression \[5x - 4 > 2x + {\text{ }}3\] looks like an equation but with the sign replaced by an arrowhead. It's an example of inequality.
This denotes that the part on the left, \[5x - 4\] , is bigger than the part on the right side , $2x + 3$ . We are interested in finding the values of $x$ for which the inequality is true.
Additional Informational: Inequalities are often manipulated like equations and follow terribly similar rules, however there’s one necessary exception. If you add constant variety to each side of given inequality , the inequality remains true. If you subtract constant variety from each side of the given inequality , the inequality remains true. If you multiply or divide each side of the given inequality by constant positive variety, the inequality remains true. However, if you multiply or divide each side of the given inequality by a negative variety, the inequality signs any longer true. In fact, the inequality becomes reversed. This can be quite simple to visualize as a result of we will write that $4 > 2$ . However, if we tend to multiply each side of this inequality , we have we’ve got to reverse the inequality , giving $ - 4 < - 2$ in order for it to be true.

Note: In inequality:
•you can add constant amount to every aspect
•you can subtract constant amount from both sides
•you can multiply or divide both sides by a constant positive amount .
If you multiply or divide both sides by a negative amount, the inequality needs to be reversed.