Inequalities — Basic Algebra

Questions in this quiz (10)

1. Solve for $$x$$ in the inequality: $$5x-7<18$$

   • $$x<5$$
   • $$x>5$$
   • $$x\le5$$
   • $$x\ge5$$

2. Solve for $$n$$ in the inequality: $$-3n+4\ge16$$

   • $$n\le-4$$
   • $$n\ge-4$$
   • $$n\le4$$
   • $$n\ge4$$

3. Solve for $$x$$: $$\frac{x+8}{4}\le6$$

   • $$x\le16$$
   • $$x\le24$$
   • $$x\ge16$$
   • $$x\ge24$$

4. Solve the inequality: $$5+7x\ge3(x+9)$$

   • $$x\ge\frac{11}{2}$$
   • $$x\le\frac{11}{4}$$
   • $$x\ge4$$
   • $$x\le4$$

5. Solve the inequality: $$-3(x-5)<18$$

   • $$x>-1$$
   • $$x<11$$
   • $$x>-11$$
   • $$x<-1$$

6. Solve the inequality: $$\frac{5x}{4}>6x-10$$

   • $$x<\frac{40}{19}$$
   • $$x>\frac{40}{19}$$
   • $$x<10$$
   • $$x>10$$

7. Solve the inequality: $$x-3<\frac{3x+5}{2}$$

   • $$x>-11$$
   • $$x<11$$
   • $$x>-5$$
   • $$x<-11$$

8. Solve the compound inequality: $$40\ge4(x+3)\ge8$$

   • $$-1\le x\le7$$
   • $$2\le x\le10$$
   • $$-3\le x\le10$$
   • $$1\le x\le8$$

9. Solve the compound inequality: $$-6x>-3(x+8)>-24$$

   • $$-8<x<0$$
   • $$0
   • $$x<0$$
   • $$x<-8$$

10. Solve the compound inequality: $$5<4x-11<29$$

    • $$4
    • $$3
    • $$2
    • $$4\le x\le10$$