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Can someone help me on this? 

I'm stuck

-3/10x - 2 < 2/5

and this 

4 + 14b ≥ 13(b + 4)

 Dec 18, 2014

Best Answer 

 #2
avatar+23246 
+5

                                                                                                -3/10x - 2  <  2/5

To get rid of fractions, multiply each term by 10:  (10)(-3/10x) - (10)(2)  <  (10)(2/5_

                                                   --->                                           -3x - 20 < 4     

Add 20 to both sides:                                                                          -3x < 24

Divide both sides by -3                                                                           x > -8  

(When you multiply both sides of an inequality by a negative number, you must change the direction of the inequality sign; you don't do this when you multiply or divide by a positive number; and you don't do this when you add or subtract either a positive or negative number.)

                                                               4 + 14b  ≥  13(b + 4)

Use the Distributive Property::                4 + 14b  ≥  13b + 52

Subtract 13b from both sides:                     4 + b  ≥  52

Subtract 4 from both sides:                                b  ≥  48

 Dec 18, 2014
 #1
avatar+128597 
+5

-3/10x - 2 < 2/5    multiply through by 10 to clear the fractions

-3x - 20 < 4           add 20 to both sides

-3x < 24              divide by -3 (and remember to  "reverse" the inequality sign)

x > -8

and this 

4 + 14b ≥ 13(b + 4)   simplify

4 + 14b  ≥ 13b + 52    subtract 13b, 4 from each side

b  ≥ 48

 

 Dec 18, 2014
 #2
avatar+23246 
+5
Best Answer

                                                                                                -3/10x - 2  <  2/5

To get rid of fractions, multiply each term by 10:  (10)(-3/10x) - (10)(2)  <  (10)(2/5_

                                                   --->                                           -3x - 20 < 4     

Add 20 to both sides:                                                                          -3x < 24

Divide both sides by -3                                                                           x > -8  

(When you multiply both sides of an inequality by a negative number, you must change the direction of the inequality sign; you don't do this when you multiply or divide by a positive number; and you don't do this when you add or subtract either a positive or negative number.)

                                                               4 + 14b  ≥  13(b + 4)

Use the Distributive Property::                4 + 14b  ≥  13b + 52

Subtract 13b from both sides:                     4 + b  ≥  52

Subtract 4 from both sides:                                b  ≥  48

geno3141 Dec 18, 2014

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