Answer:
x > -4
Step-by-step explanation:
Inequalities like these are solved the same way equations are solved, except when multiplying both sides you flip the less than/greater than sign:
3x + 7 > -x -9
3x + 7 - 7 > -x -9 -7     Subtract 7 from both sides
3x > -x -16
3x + x > -x -16 + x     add x to both sides
4x > -16
 >
 >  divide both sides by 4
     divide both sides by 4
x > -4
In this case the inequality sign did not have to be flipped since we never multiply both sides by a negative number.
 
        
             
        
        
        
Answer:
a)6x = 16
Step-by-step explanation:
<h2><u>Finding the value</u></h2>
the ratio can be solved by <u>cross multiplication :</u>
6       :          2
8       :          x
6*x = 8*2
6x = 16
answer is : <u>a) 6x = 16</u>
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
 
        
             
        
        
        
Hi,
Here we are going to be working on isolating the variable y, and seeing what its value equates to.
To do this, we must try and get the variable y on one side of the equation by itself. 
Let's look at step one -
<em>4y - 1 = 7
</em>
We want to get rid of the 1 since we need to isolate x. We do this by doing the inverse of its operation. Since 1 is negative, if we add positive 1 to it - we will get 0, thereby being closer to isolating y.
However, when we do something on one side of the equation we must do it on the other. This means we will add 1 on both sides.
<em>4y - 1 + 1 = 7 + 1
</em>
<em>4y = 8
</em>
<em />Remember how I mentioned we do the inverse of the operation? In this case, 4 is multiplying y. The inverse operation of multiplication is division. So, to get rid of the 4 - we must divide 4y by 4, on both sides.
<em>4y / 4 = 8 / 4
</em>
<em>y = 2
</em>
We now know the variable y is equal to 2. 
Hopefully, this helps. 
        
                    
             
        
        
        
Answer:
<h2>At least 21 cookie</h2>
Step-by-step explanation:
 Firstly she needed to raise $150
and each cookie $5
let the number of cookie be x
let the expression for the fund raising be
150=5x
given that the mom gave her $45
then she need
150-45=5x
105=5x
x=105/5
x=21
Therefore she need to sell at least 21 cookie