Question

four times a number increased by three is between negative nine and eleven type a compount inequality

Answer 1

The inequality will be -9 < 4x + 3 < 11.

Then the value of the x will be -2 < x < 3.

INEQUALITY

Inequality is described as an equation without a symbol for equality. The concept of inequality, which represents a statement's proportions, can be applied to contrast these two propositions.

EXAMPLE

• Let the number be x.

The four times a number x, increased by three, is between negative nine and eleven. Then the inequality will be

• -9 < 4x + 3 < 11

From the first 2 terms:

• -9 < 4x + 3
• -12 < 4x
• -3 < x

From the last 2 terms:

• 4x < 11 - 3
• 4x < 8
• x < 2

Then the value of the x will be -3 < x < 2.

Answer 2

-9 < 4x + 3 < 11

Explanation:

The compound inequality for the statement "four times a number increased by three is between negative nine and eleven" is:

-9 < 4x + 3 < 11

This can be interpreted as follows:

• The expression 4x + 3 must be greater than -9.
• The expression 4x + 3 must be less than 11.

We can write this as a compound inequality by using the and symbol to separate the two inequalities:

-9 < 4x + 3 < 11

This means that both inequalities must be true in order for the overall statement to be true.

Note:

A compound inequality is an inequality that contains two or more inequalities connected by the words "and" or "or".

Compound inequalities can be used to describe complex relationships between numbers.