A compound inequalities are two inequalities, that are joined together in a
sentence by the coordinating conjunctions, 'and' or 'or'
- The compound inequality is; x ≥ 125 and x < 250
- The graph of the inequality is attached.
Reasons:
From the table in the question, the amount of money that needs to be
raised to win a T-shirt, a backpack, and a sports ball is between $125 and
$249.99, we have;
The amount to be raised is larger than or equal to $125 (x ≥ 125)
The amount to be should be less than or equal to $249.99 (x ≤ 249.99)
Therefore, the amount Tyler needs to raise is less than $250 (x < 250)
(A reason for the use of 250, is so that the solution can be easily presented
on a graph).
The compound inequality that represent the amount of money Tyler needs
to collect is therefore;
x ≥ 125 and x < 250
Please find attached the graph of the compound inequality created with
MS Visio.
The shaded circle at 125 indicates that the point 125 is included in the
inequality, and x can be equal to 125. The open circle at 250 indicates 'not
equal to', therefore, x is less than (and not equal o) 250.
Learn more here:
https://brainly.com/question/18468270
https://brainly.com/question/12531500
Table in the question, obtained from a similar question
[tex]\begin{array}{|c|cl|}\mathbf{\underline{Amount \ raised}} && \mathbf{\underline{Prize}}\\ \$50 \ to \ \$99.99 &&T-shirt\\\$100 \ to \ \$124.99&&T-shirt, \ backpack \\ \$125 \ to \ \$249.99&&T-shirt, \ backpack, \ sports \ ball\\\$250 \ to \ \$344.99 &&T-shirt, \ backpack, \ sports \ ball, \ travel \ mug\end{array}\right][/tex]
