SOLUTION: 5(2x+1)+4<8x+6

Question 70628: 5(2x+1)+4<8x+6
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!

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Operate on this just as you would on an equation. For the first step, you can multiply
out the left side to get:
.

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Combine the +5 and the +4 on the left side. The inequality becomes:
.

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Eliminate the +9 on the left side by adding -9 to both sides:
.

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And add the +6 and -9 on the right side:
.

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Get rid of the 8x on the right side by adding -8x to both sides. The inequality simplifies to:
.

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Dividing both sides by 2 results in:
.

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This tells you that x can be anywhere on the number line below the value .
But x cannot equal and it cannot be any value to the right of
on the number line.
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It doesn't happen in this problem, but remember this rule: if you multiply or divide an
inequality by a negative number you must change the inequality sign to the opposite
direction.
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Hope this helps you see how to work with inequalities.

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