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RUDIKE [14]
3 years ago
14

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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