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# \$5.00Solving Inequalities Help

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10. Solve using the addition and multiplication principles.
Q. 7x-6<-27
A. The solution is {x | x (two answers here}

11. Solve using the addition and multiplication principles.
Q. 2.1x+20.8 > 52.0-8.3x
A. The solution set is {x | x > (Answer here)}

12. Solve using the addition and multiplication principles.
Q. x/6 -1 < 6/7
A. The solution is {x | x < (Answer here)

13. Solve.
Q. 6(2x-3) < 54
A. The solution set is {x | x < (Answer here)

14. Solve.
Q. 4(3+4x) -5 >103
A. The solution set is {x | x > (Answer here)

15. Solve.
Q. 2(5y-6) > 5(3y+6)
A. Use set-builder notation to describe the complete solution.
{y | y (two answers here)

16. Translate to an inequality.
Q. A number is at least 12.
(use x as the variable.)

24. The formula R=0.075t+3.85 can be used to predict the world record in the 1500 meter run, t years after 1930. Determine an inequality that identifies the years in which the world record will be less than 3.4 minutes.
Solve for t.

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Preview: ... <br><br>13. Solve.<br>Q. 6(2x-3) < 54<br>2x-3<9<br>2x<12<br>x<6<br><br>A. The solution set is {x | x < 6<br><br>14. Solve.<br>Q. 4(3+4x) -5 >103<br>4(3+4x) >108<br>(3+4x) >27<br>4x > 24<br>x > 24/4<br>x>6<br><br>A. The solution set is {x | x > 6<br><br>15. Solve.<br>Q. 2(5y-6) > 5(3y+6)<br>10y-12 > 15y +3 ...

The full tutorial is about 192 words long .

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Sloving Inequalities Basic Tutorial
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Preview: ... y +2 on both sides (Rule 3a), we have succeeded in isolating x on the left:<br><br><br><br>or simplified,<br><br><br><br>All real numbers less than 1 solve the inequality. We say that the "set of solutions'' of the inequality consists of all real numbers less than 1. In interval notation, the set of solutions is the interval .<br><br><br>Example 2:<br><br>Find all solutions of the inequality<br><br><br>Let's start by moving the ``5'' to the right side by subtracting 5 on both sides (Rule 1):<br><br><br><br>or simplified,<br><br><br><br>How do we get rid of the ``-'' sign in front of x? Just multiply by (-1) on both sides (Rule 3b), changing " " to " " along the way:<br><br><br><br>or simplified<br><br><br><br>All real numbers greater than or equal to -1 satisfy the inequality. The set of solutions of the inequality is the interval .<br><br><br>Example 3:<br><br>Solve the inequality<br><br><br>Let us simplify first:<br><br><br><br>There is more than one route to proceed ...

The full tutorial is about 678 words long plus attachments.

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Inequalities Tutorial.doc (68K) (Preview)

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