Compound Inequalities 1

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Question 1 of 4

1. Question
Choose the number line that represents the inequality

$x≤-1$ AND $x$ $>$ $3$
- 1.
- 2.
- 3.
- 4.
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A compound inequality consists of two inequalities joined together by AND or OR.

Plot $x≤$ $-1$ first.

The given inequality has a less than or equal to ( $≤$ ) sign.

Hence, place a solid circle above $-1$ and attach an arrow pointing to the left to represent all values less than $-1$ .

Next, plot $x$ $>$ $3$ .

The given inequality has a greater than ( $>$ ) sign.

Hence, place an empty circle above $3$ and attach an arrow pointing to the right to represent all values greater than $3$ .

Finally, combine the two number lines.
Question 2 of 4

2. Question
Choose the number line that represents the inequality

$-2$ $<$ $x≤3$
- 1.
- 2.
- 3.
- 4.
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A compound inequality consists of two inequalities joined together by AND or OR.

This inequality is in its simplest form. Hence, it can already be plotted.

Place an empty circle (because of $<$ ) above $-2$ and a solid circle (because of $≤$ )
above $3$

Connect the two circles with a straight line
Question 3 of 4

3. Question
Choose the number line that represents the inequality

$1≤x$ $<$ $3$
- 1.
- 2.
- 3.
- 4.
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A compound inequality consists of two inequalities joined together by AND or OR.

This inequality is in its simplest form. Hence, it can already be plotted.

Place a solid circle (because of $≤$ ) above $1$ and an empty circle (because of $<$ ) above $3$

Connect the two circles with a straight line
Question 4 of 4

4. Question
Choose the number line that represents the inequality

$x$ $>$ $-3$ AND $x≤1$
- 1.
- 2.
- 3.
- 4.
Hint

Help Video
Correct

Well Done!
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A compound inequality consists of two inequalities joined together by AND or OR.

This inequality can be rewritten as:

$-3$ $<$ $x$ $≤$ $1$

Place an empty circle (because of $<$ ) above $-3$ and a solid circle (because of $≤$ )
above $1$

Connect the two circles with a straight line

Compound Inequalities 1

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