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Answer :
To solve the inequality [tex]x + 8 < 12[/tex], we need to isolate the variable [tex]x[/tex] on one side of the inequality.
Step-by-step Solution:
Subtract 8 from both sides of the inequality:
[tex]x + 8 - 8 < 12 - 8[/tex]
Simplifying both sides, we get:
[tex]x < 4[/tex]
Interpret the inequality:
This inequality tells us that the value of [tex]x[/tex] must be less than 4.
Find the largest possible integer:
Since we are looking for integer values, we consider whole numbers. The largest integer less than 4 is 3.
Conclusion:
Therefore, the largest possible integer value for [tex]x[/tex] that satisfies the inequality [tex]x + 8 < 12[/tex] is [tex]x = 3[/tex].
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