Given - 2 x - 5 &lt; - 2 I got - 2 x &lt; 3 . Is this correct? How do I solve from here?

Question

Given       -    2    x    -    5    &amp;lt;    -    2   I got       -    2    x    &amp;lt;    3   . Is this correct? How do I solve from here?

gutinyalk · Accepted Answer

Step 1You managed to get from                               XXX                      -    2    x    -    5    &amp;lt;    -    2   to                               XXX                      -    2    x    &amp;lt;    3  So let&#039;s start from that point.In &quot;solving&quot; one of these problems the goal is to isolate a single x on one side of the inequality.Step 2Remember 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          &amp;lt;        3  after dividing both sides by (-2), becomes                              XXX                      x                  &amp;gt;              -          3      2

kramberol · Accepted Answer

Step 1                              XXX                      -    2    x    &amp;lt;    3  after adding 2x to both sides, becomes                              XXX                      0    &amp;lt;    3    +    2    x  then subtracting 3 from both sides, becomes                              XXX                      -    3    &amp;lt;    2    x  and, finally, dividing both sides by 2                              XXX                      -          3      2        &amp;lt;    x  which is just another way of writing       x    &amp;gt;    -          3      2

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

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