- Writing, Graphing and Solving Inequalities
- Home
- Translating a Sentence by Using an Inequality Symbol
- Translating a Sentence into a One-Step Inequality
- Introduction to Identifying Solutions to an Inequality
- Writing an Inequality for a Real-World Situation
- Graphing a Linear Inequality on the Number Line
- Writing an Inequality Given a Graph on the Number Line
- Identifying Solutions to a One-Step Linear Inequality
- Additive Property of Inequality with Whole Numbers
- Multiplicative Property of Inequality with Whole Numbers
- Solving a Two-Step Linear Inequality with Whole Numbers
- Solving a Word Problem Using a One-Step Linear Inequality
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
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Identifying Solutions to a One-Step Linear Inequality Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Identifying Solutions to a One-Step Linear Inequality. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Answer : D
Explanation
Step 1:
Plugging in 11, we get 15 > 11 + 6; 15 > 17; wrong
Plugging in 10, we get 15 > 10 + 6; 15 > 16; wrong
Plugging in 9, we get 15 > 9 + 6; 15 > 15; wrong
Plugging in 8, we get 15 > 8 + 6; 15 > 14; correct
Step 2:
So, the correct solution is 8
Answer : A
Explanation
Step 1:
$\frac{x}{2}$ < 8; x < 2 × 8; x < 16
Plugging in 15, we get 15 < 16; correct
Plugging in 16, we get 16 < 16; wrong
Plugging in 17, we get 17 < 16; wrong
Plugging in 18, we get 18 < 16; wrong
Step 2:
So, the correct solution is 15
Answer : D
Explanation
Step 1:
x + 8 > 14; x > 14 − 8; x > 6
Plugging in 5, we get 5 > 6; wrong
Plugging in 6, we get 6 > 6; wrong
Plugging in 4, we get 4 > 6; wrong
Plugging in 7, we get 7 > 6; correct
Step 2:
So, the correct solution is 7
Answer : C
Explanation
Step 1:
27 ≥ 9x
Plugging in 4, we get 27 ≥ 9×4; 27 ≥ 36; wrong
Plugging in 5, we get 27 ≥ 9×5; 27 ≥ 45; wrong
Plugging in 3, we get 27 ≥ 9×3; 27 ≥ 27; correct
Plugging in 6, we get 27 ≥ 9×6; 27 ≥ 54; wrong
Step 2:
So, the correct solution is 3
Answer : B
Explanation
Step 1:
7x ≤ 35
Plugging in 8, we get 7×8 ≤ 35; 56 ≤ 35; wrong
Plugging in 5, we get 7×5 ≤ 35; 35 ≤ 35; correct
Plugging in 6, we get 7×6 ≤ 35; 42 ≤ 35; wrong
Plugging in 7, we get 7×7 ≤ 35; 49 ≤ 35; wrong
Step 2:
So, the correct solution is 5
Answer : B
Explanation
Step 1:
x – 2 < 9; x −2 + 2 < 9 + 2; x < 11
Plugging in 13, we get 13 < 11; wrong
Plugging in 10, we get 10 < 11; correct
Plugging in 11, we get 11 < 11; wrong
Plugging in 15, we get 15 < 11; wrong
Step 2:
So, the correct solution is 10
Answer : B
Explanation
Step 1:
2x ≥ 13
Plugging in 5, we get 2×5 ≥ 13; 10 ≥ 13; wrong
Plugging in 7, we get 2×7 ≥ 13; 14 ≥ 13; correct
Plugging in 4, we get 2×4 ≥ 13; 8 ≥ 13; wrong
Plugging in 3, we get 2×3 ≥ 13; 6 ≥ 13; wrong
Step 2:
So, the correct solution is 7
Answer : D
Explanation
Step 1:
3x ≤ 12
Plugging in 7, we get 3×7 ≤ 12; 21 ≤ 12; wrong
Plugging in 6, we get 3×6 ≤ 12; 18 ≤ 12; wrong
Plugging in 5, we get 3×5 ≤ 12; 15 ≤ 12; wrong
Plugging in 3, we get 3×3 ≤ 12; 9 ≤ 12; correct
Step 2:
So, the correct solution is 3
Answer : A
Explanation
Step 1:
$\frac{x}{3}$ < 7; x < 3 × 7; x < 21
Plugging in 20, we get 20 < 21; correct
Plugging in 21, we get 21 < 21; wrong
Plugging in 23, we get 23 < 21; wrong
Plugging in 22, we get 22 < 21; wrong
Step 2:
So, the correct solution is 20
Answer : B
Explanation
Step 1:
5 > $\frac{x}{6}$; 5 × 6 > x; 30 > x; x < 30
Plugging in 33, we get 33 < 30; wrong
Plugging in 29, we get 29 < 30; correct
Plugging in 30, we get 30 < 30; wrong
Plugging in 32, we get 32 < 30; wrong
Step 2:
So, the correct solution is 29