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In this lesson, we will learn how to solve first-degree inequalities with one step.

Q1:

Write an inequality to describe the following problem, and then solve it: The result of subtracting β 4 from a number is less than 21.

Q2:

Write the solution set of π₯ β 2 < 1 given that π₯ β β .

Q3:

Write the solution set of π₯ + 1 < 6 given that π₯ β β .

Q4:

Write the solution set of π₯ β 7 β₯ β 2 given that π₯ β β .

Q5:

Write and solve an inequality to determine the side length of a regular hexagon with a perimeter of at least 12 feet.

Q6:

Write and solve an inequality for the following problem: 16 more than a number is not more than 29.

Q7:

Determine the solution set of the inequality in .

Q8:

What is the solution set of in ?

Q9:

Find the solution set of π₯ + 5 < β 6 , given that π₯ β β .

Q10:

Find the solution set of π₯ + 2 < 6 given that π₯ β β€ + .

Q11:

Find the solution set of π₯ β 8 β€ β 5 given that π₯ β β .

Q12:

Find the solution set of the inequality π₯ β 4 3 > 1 1 , where π₯ β β€ .

Q13:

Find the solution set of the inequality π₯ + 4 6 > β 4 3 , where π₯ β β€ .

Q14:

Find the solution set of π₯ + 1 9 > β 1 3 given that π₯ β β .

Q15:

Given that π₯ β β€ , solve the inequality π₯ + 7 < β 7 .

Q16:

Find the solution set of π₯ β 9 < β 7 , knowing that π₯ β β€ .

Q17:

Find the solution set of π₯ < 2 7 given that π₯ β β .

Q18:

Find the solution set of the inequality π₯ 6 < 1 6 , where π₯ β β .

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