Question

accelerated mathematics gr 8 | guided notes: solving and graphing linear inequalities in one-variable
target due: 1/26/26 0%

1. a graph representing an inequality in one variable is shown on a ____________ line.
2. when graphing an inequality, a(n) ____________ circle on the number line indicates that the endpoint is not included in the solution.
3. a(n) ____________ circle on the number line indicates that the endpoint is included in the solution set.
4. the inequality symbol $geq$ means \ ____________ or equal to.\
5. to solve an inequality, similar steps are taken as when solving a(n) ____________ equation.
6. when both sides of an inequality are multiplied or divided by a negative number, the inequality sign must be ____________.
7. the solution set of an inequality can often be represented visually on a(n) ____________.

Explanation:

Step1: Fill 1-variable inequality graph line

A 1-variable inequality graph uses a number line.

Step2: Fill non-included endpoint circle

Open circles mean endpoints are excluded.

Step3: Fill included endpoint circle

Closed circles mean endpoints are included.

Step4: Translate $\geq$ symbol

$\geq$ reads as "greater than or equal to".

Step5: Relate inequality to equation solving

Inequalities use same steps as linear equations.

Step6: Rule for negative multiplication/division

Mult/div by negative reverses inequality sign.

Step7: Visual solution set representation

Solution sets are shown on a number line.

Answer:

1. number
2. open
3. closed
4. greater than
5. linear
6. reversed
7. number line