Inequalities

1
Inequalities

• 1. x gt -6
• 2. x gt -196
• 3. x gt - 33/20 (-1 13/20)
• 4. x lt -6.3
• 5. x lt -6
• 6. x lt 17/3 (5 2/3)
• 7. x gt 1
• 8. x lt 2

• 9. x lt -65
• 10. x lt -8
• 11. x lt -12
• 12. x gt 44
• 13. x gt -15
• 14. x lt -23
• 15. All real numbers
• 16. x lt -17

2
Literal Equations
3
Literal Equations

• An equation with two or more different variables

4
Solve for r I prt

• On the right hand side, all the operations are
  multiplication.
• So, to get rid of what you dont need, you
  would divide by those things.
• So divide both sides by p and t
• I/pt r (answer)

5
Solve for c A bc/d
Get rid of the divided by d by multiplying
both sides by d. Ad bc Now, divide
both sides by b. Ad/b c (answer)
6
Solve for y 2x 5y 15

• Subtract 2x from both sides
• 5y 15 2x
• Divide each term by 5
• 5y/5 15/5 2x/5
• Simplify
• y 3 2x/5 or y -2x/5 3

7
Solve for y x - 2y -18

• Subtract x from both sides
• -2y -18 x
• Divide each term by 2
• -2y/-2 -18/-2 x/-2
• Simplify.
• y 9 x/2 or y x/2 9

8
Solve for y 2y 2x - 12

• Divide each term by 2
• 2y/2 2x/2 12/2
• Simplify.
• y x - 6

9
Solve for y 3x 2y 12 in terms of x.

• Subtract 12 from both sides.
• 3x 12 2y
• Divide each term by 2
• 3x/2 12/2 2y/2
• Simplify.
• 3x/2 6 y or y 3x/2 - 6

10
Try these

• a 3n 1 for n
• 2x 5y 10 for y
• 3/5x 1.4 y 2/5 for y
• S ½gt2 for g

11
Try theseanswers

• a 3n 1 for n n (a 1)/3
• 2x 5y 10 for y y -2/5x 2
• 3/5x 1.4 y 2/5 for y y -3/7x 2/7
• S ½gt2 for g g 2s/t2
• x ay/b 1