How do you solve #m/2-74#?

Question

How do you solve #m/2-7>4#?

Isaiah Anthony · Accepted Answer

#m>22# #m/2-7>4# Add 7 to both sides. #m/2>4+7# Simplify. #m/2>11# Multiply both sides by 2. #m>11xx2# Simplify. #m>22#

Genesis Allen · Answer

#m>22#

Given:#" "m/2-7>4#

You treat this like a normal equation. There is one 'trap' however. If the whole thing is multiplied by a negative number the inequality is turned round the other way.

For example: It is true that #2<4#

Now consider the incorrect calculation of:

#(-1)xx2<(-1)xx4 " implying that " -2<-4# which is false

#-2# is to the right of #-4# on the number line so #-2 > -4#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Add 7 to both sides giving

#m/2-7+7 >4+7#

#m/2+0>11#

Multiply both sides by 2 giving

#2/2xxm>2xx11#

But #2/2 =1# giving:

#m>22#

'~~~~~~~~~~~~~~~~~~~~~~~~~

Savannah Anderson · Answer

undefined To solve the inequality $ \frac{m}{2} - 7 > 4 $, you would first add 7 to both sides to isolate the term with $ m $. This gives you $ \frac{m}{2} > 11 $. Then, to get rid of the fraction, you would multiply both sides by 2, resulting in $ m > 22 $. Therefore, the solution to the inequality is $ m > 22 $.

How do you solve #m/2-7&gt;4#?

How do you solve #m/2-7>4#?