Question

Determine o conjunto solução das inequações a seguir.
a) b + 8 > 2
b) x + 5 < 3x + 3 *​

Answer 1

✅ Resolvendo inequações do primeiro grau:

• A)

           $\large\displaystyle\begin{gathered}b + 8 > 2 \end{gathered}$

                  $\large\displaystyle\begin{gathered}b > 2 - 8 \end{gathered}$

                  $\large\displaystyle\begin{gathered}b > - 6 \end{gathered}$

          $\large\displaystyle\text{ \begin{gathered}\therefore\:\:\:S = \{b \in \mathbb{R}\:|\:b > -6\} \end{gathered} }$

• B)

             $\large\displaystyle\begin{gathered}x + 5 < 3x + 3 \end{gathered}$

           $\large\displaystyle\begin{gathered}x - 3x < 3 - 5 \end{gathered}$

               $\large\displaystyle\begin{gathered}-2x < -2 \end{gathered}$

                  $\large\displaystyle\begin{gathered}2x> 2 \end{gathered}$

                    $\large\displaystyle\begin{gathered}x > \frac{2}{2} \end{gathered}$

                    $\large\displaystyle\begin{gathered}x > 1 \end{gathered}$

           $\large\displaystyle\text{ \begin{gathered}\therefore\:\:\:S = \{x \in \mathbb{R}\:|\: x > 1\} \end{gathered} }$

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