Given <mstyle displaystyle="true"> - 2 x - 5 &lt; - 2

Joel French 2022-07-14 Answered
Given - 2 x - 5 < - 2 I got - 2 x < 3 . Is this correct? How do I solve from here?
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Answers (2)

gutinyalk
Answered 2022-07-15 Author has 11 answers
Step 1
You managed to get from XXX - 2 x - 5 < - 2 to XXX - 2 x < 3
So let's start from that point.
In "solving" one of these problems the goal is to isolate a single x on one side of the inequality.
Step 2
Remember the rule that tells you that you can multiply or divide both sides of an inequality by any negative number if you reverse the inequality sign.
XXX - 2 x < 3
after dividing both sides by (-2), becomes
XXX x > - 3 2

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kramberol
Answered 2022-07-16 Author has 5 answers
Step 1
XXX - 2 x < 3
after adding 2x to both sides, becomes
XXX 0 < 3 + 2 x
then subtracting 3 from both sides, becomes
XXX - 3 < 2 x
and, finally, dividing both sides by 2
XXX - 3 2 < x
which is just another way of writing x > - 3 2

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