MAT 116 Week 3 - DQ 2 - 7806

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Dq2

How do you know if a value is a solution for an inequality?

You put the value in the variable. After simplifying an expression you work to a true statement and the value was a solution. If you end up with a statement that is false then the value was not a solution.

How is this different from determining if a value is a solution to an equation?

You also put in the value for the variable and simplify the expression in an equation but in an equation there is normally one value that makes it true.

If you replace the equal sign of an equation with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality?

If you replace the equals sign with a less than or equal to or if you replace with greater than or equal to the solution to the equality is also the solution to the inequality.

4x-9<0

With x as 2

 

Solution Description

Dq2

How do you know if a value is a solution for an inequality?