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Mathematics, 22.06.2019 21:00 Kate1678

How can you solve linear inequalities in one variable?

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Answer from: jonathanjenkins701

There can be three solution sets of linear equalities. They can have one solution, or they can have no solutions or they can have infinitely many solutions. System of linear inequalities that have many or infinite solutions are called ” dependent”.

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Answer from: Kenoman

Solving single linear inequalities follow pretty much the same process for solving linear equations. We will simplify both sides, get all the terms with the variable on one side and the numbers on the other side, and then multiply/divide both sides by the coefficient of the variable to get the solution.

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Answer from: lolomgwtfnvm4
In the case of linear inequalities, we need to take care of the sign, here we have to take each side with that middle sign which could be =, >, <, ≤, ≥. So, here we apply a same operation on both sides of the equation equally

Example. -  3x + 2 > 5
Here, we need to subtract 2 from both sides, [ equal operation ]
 3x  > 3
Now, we need to divide 3 from both sides, 
x > 1
In that way, we solve for a linear inequality 

Didn't get the next part of your question  [ rocketcow is not allowed to answer] what does that mean? Not in maths

Hope this helps!
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Answer from: harh5863
One example is 2x + 3 ≤ 11. Solving for x is the same as solving a linear equality (-2x + 3 = 11) EXCEPT that if you ever have to DIVIDE by a NEGATIVE number or MULTIPLY by a NEGATIVE number while solving for x, you must switch the direction of your inequality symbol (≤ becomes ≥, for example).

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