If $x$ is a real number and $|x| < 3,$ then:
- A$\text{x}\geq3$
- ✓$-3<\text{x}<3$
- C$\text{x}\leq-3$
- D$-3\leq\text{x}\leq3$
Answer: B.
View full solution →Question types
Linear Inequalities question types
49 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
49
Questions
6
Question groups
5
Question types
01
M.C.Q (1 Marks)
8 Q→02True False[1 Marks ]
15 Q→032 Marks Questions
4 Q→043 Marks Question
6 Q→05Fill In The Blanks[1 Marks ]
8 Q→065 Marks Questions
8 Q→Sample Questions
Linear Inequalities questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
If $x < 5,$ then.
- A$-\text{x} < – 5 $
- B$-\text{x}\leq-5$
- ✓$-\text{x} > – 5 $
- D$-\text{x}\leq-5$
Answer: C.
View full solution →Solution of a linear inequality in variable $x$ is represented on number line.
- ✓$\text{x}\in\big(-\infty,\frac{7}{2}\big)$
- B$\text{x}\in\big(-\infty,\frac{7}{2}\big]$
- C$\text{x}\in\big(\frac{7}{2},-\infty\big)$
- D$\text{x}\in\big(\frac{7}{2},\infty\big)$
Answer: A.
View full solution →If $|\text{x}+2|\leq9,$ then:
- A$\text{x}\in(-7,11)$
- ✓$\text{x}\in[-11, 7]$
- C$\text{x}\in[-\infty,-7)\cup(11,\infty) $
- D$\text{x}\in(-\infty,-7)\cup[11,\infty) $
Answer: B.
View full solution →If $|x - 1| > 5,$ then:
- A$\text{x}\in(-4, 6)$
- B$\text{x}\in[-4,6]$
- ✓$\text{x}\in[-\infty,-4)\cup(6,\infty) $
- D$\text{x}\in[-\infty,-4)\cup[6,\infty) $
Answer: C.
View full solution →If xy > 0, then x < 0 and y < 0.
If x < –5 and x > 2, then $\text{x}\in(-5, 2).$
View full solution →If $|\text{x}|\leq4$ then $\text{x}\in[-4, 4].$
View full solution →Graph of $\text{x}\geq0$ is:
View full solution →If x < y and b < 0, then $\frac{\text{x}}{\text{b}}<\frac{\text{y}}{\text{b}}.$
View full solution →Solve for x, the inequalities Exercises.
$\frac{4}{\text{x+1}}\leq3\leq\frac{6}{\text{x+1}}, (\text{x}>0)$
View full solution →$\frac{4}{\text{x+1}}\leq3\leq\frac{6}{\text{x+1}}, (\text{x}>0)$
A company manufactures cassettes. Its cost and revenue functions are C(x) = 26,000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realise some profit?
Solve for x, the inequalities Exercises.
$4\text{x}+3\geq2\text{x}+17$
View full solution →$4\text{x}+3\geq2\text{x}+17$
Solve for x, the inequalities Exercises.
$|\text{x}-1|\leq5,\ |\text{x}|\geq2$
View full solution →$|\text{x}-1|\leq5,\ |\text{x}|\geq2$
In drilling world’s deepest hole it was found that the temperature T in degree celcius, x km below the earth’s surface was given by $\text{T}=30^\circ+25^\circ(\text{x}-3), 3\leq\text{x}\leq15$At what depth will the temperature be between 155°C and 205°C?
View full solution →Solve for x, the inequalities Exercises.
$\frac{|\text{x}-2|-1}{|\text{x}-2|-2}\leq0$
View full solution →$\frac{|\text{x}-2|-1}{|\text{x}-2|-2}\leq0$
Solve for x, the inequalities Exercises.
$-5\leq\frac{2-3\text{x}}{4}\leq9$
View full solution →$-5\leq\frac{2-3\text{x}}{4}\leq9$
A solution is to be kept between 40°C and 45°C. What is the range of temperature in degree fahrenheit, if the conversion formula is $\text{F}=\frac{9}{5}{^{\circ}\text{C}}+32^{\circ}.$
View full solution →The longest side of a triangle is twice the shortest side and the third side is 2cm longer than the shortest side. If the perimeter of the triangle is more than 166cm then find the minimum length of the shortest side.
If $-\frac{3}{4}\text{x}\leq-3,$ then $\text{x}.......4.$
View full solution →If x > -5 then 4x .....-20.
If $-4\text{x}\geq12,$ then $\text{x}.......-3.$
View full solution →If $\frac{2}{\text{x}+2}>0,$ then $\text{x}.......2.$
View full solution →If p > 0 and q < 0 then p - q ......p.
Find the linear inequalities for which the shaded region in the given figure is the solution set.
A solution of 9% acid is to be diluted by adding 3% acid solution to it. The resulting mixture is to be more than 5% but less than 7% acid. If there is 460 litres of the 9% solution, how many litres of 3% solution will have to be added?
The water acidity in a pool is considerd normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the first two pH readings are 8.48 and 8.35, find the range of pH value for the third reading that will result in the acidity level being normal.
Solve for x, the inequalities Exercises.
$\frac{1}{|\text{x}|-3}\leq\frac{1}{2}$
View full solution →$\frac{1}{|\text{x}|-3}\leq\frac{1}{2}$
Solve the following system of inequalities.
$\frac{2\text{x}+1}{7\text{x}-1}>5, \frac{\text{x}+7}{\text{x}-8}>2$
View full solution →$\frac{2\text{x}+1}{7\text{x}-1}>5, \frac{\text{x}+7}{\text{x}-8}>2$
Generate a Linear Inequalities paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.