Question

Enter the solution to the inequality in the box.



8+4(x−3)+3x≤24

Answer 1

8+4x-12+3x<=24
-4+7x<=24
7x<=28
X<=4

Answer 2

Answer: The required solution is
`x\leq4.`

Step-by-step explanation: We are given to solve the following inequality :

`8+4(x-3)+3x\leq24~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To solve the given inequality, we must find the value of the unknown variable x.

From inequality (i), we have

`8+4(x-3)+3x\leq24\\\\\Rightarrow 8+4x-12+3x\leq24\\\\\Rightarrow 7x-4\leq24\\\\\Rightarrow 7x\leq24+4\\\\\Rightarrow 7x\leq28\\\\\Rightarrow x\leq(28)/(7)\\\\\Rightarrow x\leq4.`

Thus, the required solution is
`x\leq4.`