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4 votes
Write an inequality with the solution x<12

User Pramila
by
7.6k points

2 Answers

5 votes
Here is another example:
X + 8 < 20
You find the solution to that inequality this way:
X + 8 < 20 ---- start with the example
X + 8 - 8 < 20 - 8 ----- subtract 8 from each side
X < 12 ---- gives you the solution you're looking for

Note:
A way to find a different inequality with that solution is to start with that solution:
X < 12
Then, do a mathematical operation to each side, such as "subtract 3":
X - 3 < 12 - 3
Simplify the resulting inequality:
X - 3 < 9
Which gives you an inequality with the solution you're looking for.

User Anubhav C
by
7.2k points
4 votes
One example:

x<12 \ \ \ |* 2 \\ 2x<24 \ \ \ |+2x \\ 4x<24+2x \\ \boxed{4x<2(12+x)}

Another example:

x<12 \ \ \ |/ (-2) \\ -(1)/(2)x>-6 \ \ \ |+8 \\ \boxed{-(1)/(2)x+8>2}
User Sunitha
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7.4k points