StudySmarter AI is coming soon!

- :00Days
- :00Hours
- :00Mins
- 00Seconds

A new era for learning is coming soonSign up for free

Suggested languages for you:

Americas

Europe

Q7.

Expert-verifiedFound in: Page 140

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

**Solve the inequality. Graph and check your solution.**

** **

$x+2>-3$

The solution for the inequality is $x>-5$.

In this type of inequality, Simply use the **property of addition or subtraction of suitable number on both Left Hand Side & Right Hand Side **to maintain the inequality and also the variable & numbers should be at the different sides in the equation.

Since, the equality is $x+2>-3$.

Here, to simplify this inequality, subtract $-2$ to both side on the above

$\begin{array}{l}x+2>-3\\ x+2-2>-3-2\\ x>-5\end{array}$

Since, in the expression $x>-5$

So, this expression means that the value of *x* should be greater than $-5$.

So, Put $-4,-3,-2,.........so\u200aon$ in $x+2>-3$ to check whether the inequality hold or not

Put $x=-4$ in inequality,

$\begin{array}{l}x+2>-3\\ -4+2>-3\\ -2>-3\end{array}$

It holds the equation

Again, put $x=-3$ in equality

$\begin{array}{l}x+2>-3\\ -3+2>-3\\ -1>-3\end{array}$

It also holds the inequality.

So, the expression $x>-5$ correctly holds the inequality.

**Graphical Interpretation**

Following is the graph of the expression $x>-5$ to get the proper graphical representation to know the points.

94% of StudySmarter users get better grades.

Sign up for free