Inequalities and Proof - Written Exercises (Conjunctions/Disjunctions)

Ten practice flashcards focusing on solving conjunctions and disjunctions of inequalities, and interpreting their solution sets.

What is the solution set for the conjunction 3 ≤ x ≤ 5?

[3,5]

What is the solution set for z > -1 and z < 3?

-1 < z < 3

Solve the conjunction 0 ≤ x - 2 < 3. What are the x-values?

2 ≤ x < 5

Solve -12r - 5 > -9 for r.

r < 1/3

Solve -13z + 2 ≤ 8 for z.

z ≥ -6/13

Solve the disjunction 3k + 7 < 1 or 2k - 3 > 1 for k.

k < -2 or k > 2

If y - 1 ≥ 0 and y ≥ 3, what is the solution set for y?

y ≥ 3

If w > 0 and w ≥ 4, what is the solution set for w?

w ≥ 4

Solve 2y + 2 ≥ 0.

y ≥ -1

Solve the disjunction 2z ≤ 15 or 3z - 5 > 10. What is the solution set?

All real numbers (z ∈ ℝ)