Question

Which number is the solution of the inequality $b+2>2$?

f. 4

g.0

h. -10

i. -2

Short answer

The correct solution for the inequality is option f. 4.

Step-by-step solution

Step -1 - Apply the concept of linear equations

In this, simply use the concept of understanding the graph and keep some points that there will be closed and open interval in the graph and also see the line where it starts and where it goes.

Step -2 – Find the solution of the inequality

Here,

The inequality is$b+2>2$

Simply, subtract 2 to both side of the equation,

$\begin{array}{l}b+2>2\\ b+2-2>2-2\\ b>0\end{array}$

Step -3 – Eliminating the options to get correct one

f. 4:It is the correct option because the equation is $b>0$in which the value of b is always greater than zero. So, 4 is greater than zero.

g. 0: It is not the correct option because the equation is b>0 in which the value of b is always greater than zero. So, 0 not exist or it is an open interval .

h. -10: It is not the correct option because the equation is b>0 in which the value of b is always greater than zero. So, -10 is lower than 0.

i. -2: It is not the correct option because the equation is b>0 in which the value of b is always greater than zero. So, -2 is lesser than 0.