Question

Represent the inequality $x+7\ge 7$ on the number line.

Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution.

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Given, $x+7\ge 7$

Subtract 7 from both sides of the inequality in order to remove the 7 on the left hand side.
Also, subtracting the same number from each side of an inequality does not change the direction of the inequality symbol.
$\Rightarrow x+7-7\ge 7-7\Rightarrow x+0\ge 0$
$\Rightarrow x\ge 0$

The symbol used is ''greater than or equal to'' $(\ge )$ so a closed circle must be used at 0, which means 0 is included in our solution.

$x$ is greater than or equal to 0, so the arrow from the circle must show the numbers that are greater than or equal to 0.

Hence, is the correct option.