Solve Simple and Compound Linear Inequalities Practice

1. Solve for $x$.

   $12x-39\leq 9 \text{ AND }-4x+3$.
   

   Choose 1 answer:
   

   1. $x\geq4$
   2. $\dfrac{9}4$
   3. $x>-\dfrac{9}4$
   4. There are no solutions
      
   5. All values of $x$ are solutions

2. Solve for $x$.

   $12x+7< -11 \quad {\text{ OR }} \quad 5x-8>40$.
   

   Choose 1 answer:
   

   1. $x< -\dfrac{3}2$ or $x>\dfrac{48}{5}$
      
   2. $-\dfrac{3}2$
   3. $x>\dfrac{3}2$ or $x$
      
   4. There are no solutions
      
   5. All values of $x$ are solutions

3. Solve for $x$.

   $4x-39> -43 \quad {\text{ AND}} \quad 8x+31$.
   

   Choose 1 answer:
   

   1. $x$ or $x>-1$
      
   2. $x$
   3. $x>-1$
   4. There are no solutions
      
   5. All values of $x$ are solutions

4. Solve for $x$.

   $5x-4\geq 12 \quad {\text{ OR }} \quad 12x+5\leq-4$.
   

   Choose 1 answer:
   

   1. $x\geq\dfrac{16}{5}$ or $x\leq-\dfrac{3}{4}$
      
   2. $x\leq\dfrac{16}{5}$
   3. $x\geq-\dfrac{3}{4}$
      
   4. There are no solutions
      
   5. All values of $x$ are solutions

Source: Khan Academy, https://www.khanacademy.org/math/college-algebra/xa5dd2923c88e7aa8:linear-equations-and-inequalities/xa5dd2923c88e7aa8:compound-inequalities/e/compound_inequalities
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