Solve x + 2/12%0D%0A2%0D%0A1%0D%0A2%0D%0A < 8.
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Solve x + 2 1/2 < 8.
To solve the inequality x + 2 1/2 < 8, we need to isolate the variable x on one side of the inequality sign.
First, we can subtract 2 1/2 from both sides:
x + 2 1/2 - 2 1/2 < 8 - 2 1/2
Simplifying this gives:
x < 5 1/2
Therefore, the solution to the inequality is x < 5 1/2.
To solve the inequality x + 2/12%0D%0A2%0D%0A1%0D%0A2%0D%0A < 8, we need to simplify the expression and find the value of x that satisfies the inequality.
First, let's break down the expression step by step:
x + 2/12%0D%0A2%0D%0A1%0D%0A2%0D%0A < 8
The %0D%0A in the expression represents line breaks, so we can remove them and rewrite the expression as:
x + 2/12 < 8
Next, we need to simplify the fraction 2/12. Since both 2 and 12 are divisible by 2, we can simplify this fraction by dividing both the numerator and denominator by 2:
2/12 = 1/6
Now, we can rewrite the inequality with the simplified fraction:
x + 1/6 < 8
To further simplify the inequality, we can subtract 1/6 from both sides of the inequality:
x < 8 - 1/6
To find the common denominator between 8 and 1/6, we need to convert 8 to a fraction with the same denominator as 1/6, which is 6:
8 = 48/6
Now we can substitute these values into the inequality:
x < 48/6 - 1/6
Simplifying the right side of the inequality:
x < 47/6
Therefore, the solution to the inequality is x < 47/6, which means any value of x that is less than 47/6 will satisfy the inequality.