Question

solve the inequality and graph the solution on the line provided.
7 + 4x ≤ 3
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:
click and drag to plot line.
submit answer

Explanation:

Step1: Subtract 7 from both sides

$$7 + 4x-7\leq3 - 7$$
$$4x\leq - 4$$

Step2: Divide both sides by 4

$$\frac{4x}{4}\leq\frac{-4}{4}$$
$$x\leq - 1$$

Answer:

Inequality Notation: \(x\leq - 1\)

To graph \(x\leq - 1\) on the number line:

• Place a closed circle at \(-1\) (because the inequality includes equality, \(\leq\)).
• Shade the line to the left of \(-1\) (since \(x\) is less than or equal to \(-1\)).