solve the following inequalities

2 ( x + 1 ) > 4

x + 1 > 2

x > 1

7x - 9 > 9x + 7

-16 > 2x

2x < -16

x < -8

A: 2(x+1)&gt;4
2(x+1)/2&gt;4/2 (Divide both sides by 2)
x+1&gt;2
x+1-1&gt;2-1 (subtract both sides by 1)
so x&gt;1

B: 7x-9&gt;9x+7
7x-9+9&gt;9x+7+9 (Add both sides by 9)
7x&gt;9x+16
7x-9x&gt;9x-9x+16 (subtract both sides by 9x)
-2x&gt;16
-2x/-2 &gt;16/-2 (divide both sides by -2)
so x&lt;-8

A. 2 (x + 1) &gt; 4
x + 1 &gt; 2
x &gt; 1

B. 7x - 9 &gt; 9x + 7
7x - 9x &gt; 7 + 9
-2x &gt; 16
x &lt; -8

2(x+1)&gt;4
x+1&gt;2
x&gt;1


7x-9&gt;9x+7
-2x&gt;16
x&lt;-8