Question

solve for x and graph the solution on the number line below.
7 + x < 6
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.
submit answer

Explanation:

Step1: Isolate the variable \(x\)

Subtract \(7\) from both sides of the inequality \(7 + x<6\).
$$7+x - 7<6 - 7$$

Step2: Simplify the inequality

Simplify the left - hand side \(7+x - 7=x\) and the right - hand side \(6 - 7=-1\). So, \(x < - 1\).

Answer:

Inequality Notation: \(x < - 1\)

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

• Place an open circle at \(-1\) (because the inequality is strict, \(x

eq - 1\)).

• Shade the line to the left of \(-1\) (since \(x\) is less than \(-1\)).