Question

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answer 1

The correct representations are - 6x + 15 < 10 - 5x  , An open circle is at 5 and a bold line starts at 5 and is pointing to the right , Option C and E are the right answers.

What is Inequality ?

Inequality are the mathematical statements where algebraic expressions are equated by another algebraic expression or a constant using an Inequality Operator.

The given statement is

–3(2x – 5) < 5(2 – x)

On simplifying can be written as

- 6x + 15 < 10 - 5x

- 6x + 15 < 10 - 5x

- 6x < -5 - 5x

- x < - 5

 x > 5

An open circle is at 5 and a bold line starts at 5 and is pointing to the right .

Therefore Option C and E are the right answers.

To know more about Inequality

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