Question

solve and graph the following inequality: -19x - 7.1 ≥ 30.9
provide an answer accurate to the nearest tenth.
inequality:
graph:
number line options
skill code: 118080
(\frac { - 1 } { 5 } ) ^ { 2 }
\frac { 9 ^ { 7 } } { 6 cdot 6 ^ { 3 } }
( 3.51 cdot 10 ^ { - 1 } ) - ( 4.19 cdot 10 ^ { - 3 } )
1.14 cdot 10 ^ { 7 } + 5.222 cdot 10 ^ { 7 }
\frac { - 8.8 cdot 10 ^ { - 7 } } { 6 cdot 10 ^ { - 7 } }

Explanation:

Step1: Solve the inequality

$$\begin{align*} -19x - 7.1&\geq30.9\\ -19x&\geq30.9 + 7.1\\ -19x&\geq38\\ x&\leq\frac{38}{-19}\\ x&\leq - 2 \end{align*}$$

Step2: Graph the solution

On a number line, draw a closed circle at \(x = - 2\) (because the inequality includes equality, \(\leq\)) and shade to the left (since \(x\) is less than or equal to \(-2\)).

Answer:

The solution of the inequality is \(x\leq - 2\). On the number - line, there is a closed circle at \(-2\) and the line is shaded to the left of \(-2\).