Question

Solve the inequality. Graph your solution.

$t-7\le 3.4$

Short answer

The solution for the inequality is $t\le 10.4$.

Step-by-step solution

Step -1 - Apply the concept of Linear inequalities

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

Step -2 – Find the value of t by solving the inequality

Since, the equality is $t-7\le 3.4$.

Here, to simplify this inequality, adding $7$to both side on the above

localid="1649294680060" $\begin{array}{l}t-7\le 3.4\\ t-7+7\le 3.4+7\\ t\le 10.4\end{array}$

Graphical Interpretation

Following is the graph of the expression $t\le 10.4$to get the proper graphical representation to know the points.