Question

Which graph shows the solution to the inequality absolute value of x+3 greater than orequal to 2

Answer 1

Inequalities help us to compare two unequal expressions. The correct option is B.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The complete question is given below.

For the given inequality to be plotted on the graph, the inequality is needed to be simplified. Therefore,

|x + 3| ≥ 2

• If the value of x is positive,

        x + 3 ≥ 2

        x ≥ 2 - 3

        x ≥ -1

• If the value of x is negative

        -x -3 ≥ 2

        -x ≥ 2+3

        -x ≥ 5

        x ≤ -5

Hence, the value of x should be greater than or equal to -1 or the value of x should be less than or equal to -5. Therefore, the correct option is B.

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