Name: ___________________Date:___________________

kwizNET Subscribers, please login to turn off the Ads!
 Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Grade 7 - Mathematics6.30 Properties of Inequalities - I

Example:
15 > 8, adding 6 to both sides, we get
L.H.S. = 15 + 6 = 21
R.H.S. = 8 + 6 = 14
Since 15 > 8, 15 lies to the right of 8, after adding 6 to both sides 21 lies to the right of 14.
\ 21 > 14
\ If 15 > 8 then 21 > 14 ...........I

Consider 6 > -4, adding (-2) both sides, we get
L.H.S. = 6 + (-2) = 4
R.H.S. = (-4) + (-2) = -6
Since 6 > -4, 6 lies to the right of -4, after adding (-2) both sides 4 lies to the right to (-6).
\4 > -6
\ If 6 > -4 then 4 > -6 .............II

From I and II we have the property - I

Adding (or subtracting) the same number to both sides of an inequality does not change the order of the inequality sign (i.e., greater than or less than)
i.e. if a < b then a+c < b+c and a-c < b-c
Similarly,
If a > b then a+b > b+c and a-c > b-c for any three numbers a, b, and c.

Example:
Solve for x in the inequality
x - 15 > 8
x - 15 + 15 > 8 + 15 ------------ adding 15 on both sides does not change the inequality
x > 23

Directions: Write at least ten examples of your own and prove the above inequality property.

 Name: ___________________Date:___________________

Grade 7 - Mathematics6.30 Properties of Inequalities - I

 Q 1: 6x - 6 > 2x + 2 x < 2x > 2x > -2 Q 2: x - 2 > 6x > 6x > 8x < 8 Q 3: 4r + 15 < 3r - 15r < 15r > 30r < -30 Q 4: 2c + 4 > c + 4c < 4c < 0c > 0 Q 5: x + 2 > 3x < 1x > -1x > 1 Q 6: 2 > n + 2n < 0n > 0n < 4 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

Subscription to kwizNET Learning System costs less than \$1 per month & offers the following benefits:

• Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
• Instant scoring of online quizzes
• Progress tracking and award certificates to keep your student motivated
• Unlimited practice with auto-generated 'WIZ MATH' quizzes
• Child-friendly website with no advertisements

© 2003-2007 kwizNET Learning System LLC. All rights reserved. This material may not be reproduced, displayed, modified or distributed without the express prior written permission of the copyright holder. For permission, contact info@kwizNET.com
For unlimited printable worksheets & more, go to http://www.kwizNET.com.