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3 years ago

Enter the solution to the inequality in the box. 8+4(x−3)+3x≤24

Mathematics

2 answers:

iren2701 [21]3 years ago

7 0

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

$8+4(x-3)+3x\leq24\\\\\Rightarrow 8+4x-12+3x\leq24\\\\\Rightarrow 7x-4\leq24\\\\\Rightarrow 7x\leq24+4\\\\\Rightarrow 7x\leq28\\\\\Rightarrow x\leq\dfrac{28}{7}\\\\\Rightarrow x\leq4.$

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

xxMikexx [17]3 years ago

5 0

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

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BabaBlast [244]

Answer:

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