Question

solve the inequality and graph the solution on the line provided. -11 + 4x > -39 answer attempt 2 out of 2 < > ≤ ≥ or inequality notation: x > -7 number line: click line to delete. click closed circle to change to open circle. submit answer

Explanation:

Step1: Add 11 to both sides

$$-11 + 4x+11> - 39+11$$
$$4x>-28$$

Step2: Divide both sides by 4

$$\frac{4x}{4}>\frac{-28}{4}$$
$$x > - 7$$

For graphing \(x > - 7\) on the number line:

• Since the inequality is \(x > - 7\) (not \(x\geq - 7\)), we use an open - circle at \(x=-7\).
• Then we draw an arrow to the right of \(x = - 7\) to represent all the values of \(x\) that are greater than \(-7\).

Answer:

Inequality Notation: \(x > - 7\)
For the number line: Place an open - circle at \(-7\) and draw an arrow to the right.