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8 questions · timed · auto-graded

Question 11 Mark
Given:
P = {x : 5 < 2x - 1 ≤ 11, x ∈ R}
Q = {x : -1 ≤ 3 + 4x < 23, x ∈ R}
Where R = (real number), I = (Integers) Reperesnr P and Q on number lines. Write down the elements of P ∩ Q.
Answer

P ∩ Q = {4}.
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Question 21 Mark
Graph the solution set for each inequality:
-3≤ x ≤3.
Answer
The graph of -3≤ x ≤3 consists of all the numbers between -3 and 3 as well as 3 and -3.
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Question 31 Mark
Graph the solution set for each inequality:
-3< x ≤ 8
Answer
The graph of -3< x ≤ 8 consists of all the numbers between -3 and 8 as well as 8.
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Question 41 Mark
Graph the solution set for each inequality:
5 ≤ x < 10
Answer
The graph of 5 ≤ x < 10 consists of all the numbers between 5 and 10 as well as 5.
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Question 51 Mark
Graph the solution set for each inequality:
-3< x <5
Answer
The graph of -3< x <5 is all the numbers between 3 and 5.
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Question 61 Mark
Graph the solution set for each inequality:
x < 4
Answer
We shade a number line to the left of 4. The open circle shows that 4 is not included.
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Question 71 Mark
Graph the solution set for each inequality:
x ≥ - 3
Answer
We shade a number line to the right of - 3. The darkened circle shows - 3 is included.
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Question 81 Mark
Solve the following inequalities and represent the solution set on a number line:
$0 \leq \frac{3-2 x}{4} \leq 1$
Answer
The given inequality is $0 \leq \frac{3-2 x}{4} \leq 1$ same as part (iii) solve yourself.
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[1 Mark Question Answer] - Mathematics STD 10 Questions - Vidyadip