Question

How do you solve and graph \[3[4x - (2x - 7)] < 2(3x - 5)\] ?

Answer 1

Hint: For solving this inequality \[3[4x - (2x - 7)] < 2(3x - 5)\] , . We just need to remember to apply all of our operations to both parts, like adding , subtracting , multiplying and others in order to satisfy the given inequality .

Complete step-by-step answer:
We just need to remember to apply all of our operations to both parts, the given inequality is,
\[3[4x - (2x - 7)] < 2(3x - 5)\]
Simplifying , we will get,
\[ \Rightarrow 3[2x + 7] < 2(3x - 5)\]
Now, solving the parenthesis, we will get ,
\[ \Rightarrow 6x + 21 < 6x - 10\]
Now, subtract $6x$ from both the side we will get ,
\[ \Rightarrow 21 < - 10\]
Which is not true for any value of ‘x’.
Therefore, we have no value of ‘x’.

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 need to be reversed.