Algebra Inequalities Quiz
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Questions and Answers

How would you solve the inequality x + 5 > 3 and what is the solution?

The solution is x > -2.

Write the inequality that represents Eleanor driving below the speed limit of 55 mph.

The inequality is x < 55.

What is the maximum additional speed Eleanor can drive without exceeding the speed limit?

Eleanor can increase her speed by a maximum of 1 mph.

Solve the inequality x + 10 ≥ 14 and describe the solution.

<p>The solution is x ≥ 4.</p> Signup and view all the answers

If the maximum number of students in an art class is 26 and there are currently 16 students, how many more can be added?

<p>A maximum of 10 more students can be added.</p> Signup and view all the answers

What is the solution to the inequality x + 10 ≥ 14, and how is it derived?

<p>The solution is <code>x ≥ 4</code>, obtained by subtracting 10 from both sides of the inequality.</p> Signup and view all the answers

In the inequality x - 20 ≤ -11, what steps do you take to find the solution?

<p>Add 20 to both sides to get <code>x ≤ 9</code>.</p> Signup and view all the answers

If the inequality x + c > -2.55 has the solution x > 4.85, what is the value of c, and how is it calculated?

<p>The value of <code>c</code> is <code>2.3</code>, calculated by rearranging the inequality to isolate <code>c</code>.</p> Signup and view all the answers

Rina has to climb a certain distance to reach the peak. How would you express this distance using an inequality, if she is currently 9695 feet up a mountain that is 12358 feet high?

<p>The inequality to express the remaining distance is <code>d ≥ 12358 - 9695 = 2663</code> ft.</p> Signup and view all the answers

How many more students can join the art class if the maximum is 26 and there are currently 16 students signed up?

<p>10 more students can join, calculated as <code>26 - 16 = 10</code>.</p> Signup and view all the answers

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