How do you solve 2 ( t + 3 ) &lt; 3 ( t + 2 ) ?

Question

How do you solve       2          (      t      +      3      )        &amp;lt;    3          (      t      +      2      )       ?

Amelie Douglas · Accepted Answer

Step 1First lets simplify the inequality:      2          (      t      +      3      )        &amp;lt;    3          (      t      +      2      )            2    t    +    6    &amp;lt;    3    t    +    6   opening the brackets      2    t    -    3    t    &amp;lt;    6    -    6        -    t    &amp;lt;    0  When multiplying or dividing by a negative number, the inequality sign changes, from       &amp;lt;   to       &amp;gt;   .Hence we get:      t    &amp;gt;    0  Check the answer:Take       t    =    2        2          (      2      +      3      )        &amp;lt;    3          (      2      +      2      )                  (      2      ×      5      )        &amp;lt;          (      3      ×      4      )            10    &amp;lt;    12

tilfaen4a · Accepted Answer

Step 1      2    t    +    6    &amp;lt;    3    t    +    6        -    t    &amp;lt;    0        t    &amp;gt;    0

How do you solve <mstyle displaystyle="true"> 2 ( t + 3

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