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Inequality:
x + 15.4 ≤ 18.7
Solution:
x≤ 3.3
1) Considering that we have the measures of each side, and the sum of all sides (Perimeter) we can write out the following:
[tex]\begin{gathered} 4.9+4.1+x+6.4\leq18.7 \\ \end{gathered}[/tex]2) Let's now add them all up to get the possible values of x:
[tex]\begin{gathered} 4.9+4.1+x+6.4\leq18.7 \\ 9+x+6.4\leq18.7 \\ x+15.4\leq18.7 \\ x+15.4-15.4\leq18.7-15.4 \\ x\leq3.3 \end{gathered}[/tex]Note that we have isolated x on one side, by subtracting 15.4 from both sides. So the missing side must be lesser than or equal to 3.3 units
3) Hence, the answer is:
Inequality:
x + 15.4 ≤ 18.7
Solution:
x≤ 3.3