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For each value of x Determine whether it is a solution

For each value of x Determine whether it is a solution-example-1
User Benibur
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1 Answer

1 vote

Given the inequality


1-8x\ge-39

Let us evaluate for the value of x

Subtract 1 from both sides


\begin{gathered} 1-8x-1\ge-39-1 \\ 1-1-8x\ge-40 \\ 0-8x\ge-40 \\ -8x\ge-40 \end{gathered}

Divide both sides by -8


(-8x)/(-8)\ge(-40)/(-8)

Note: The sign will change whenever you have the coefficient to be negative.

Therefore,


x\leq5

With the result above, let us now confirm whether the given values are solutions or not.

Hence,


\begin{gathered} 10\text{ No, it is not a solution.} \\ -2\text{ Yes, it is a solution} \\ 5\text{ Yes, it is a solution} \\ -5\text{ Yes, it is a solution.} \end{gathered}

User Naysa
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