All In One ICSE Mathematics Class 10>Chapter 4 - Linear Inequations>Topic Exercise>Q 16

EASY

10th ICSE

IMPORTANT

Earn 100

Consider the given figure,

If the perimeter of triangle is less than equal to $33$ and greater than equal to $24$ Then, find the solution set, where $x \in N$ .

Important Questions on Linear Inequations

EASY

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 4 - Linear Inequations>Topic Exercise>Q 17

One-third of a bamboo pole is buried in mud, one-sixth of it is in water and the part above the water is greater than or equal to

3

units. Find the length of the shortest pole.

EASY

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 4 - Linear Inequations>Topic Exercise>Q 18

Find the greatest integer which is such that, if

7

is added to its double, then the resulting number becomes greater than three times the integer.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 4 - Linear Inequations>Topic Exercise>Q 19

Find all pairs of consecutive even positive integers, both of which are larger than

5

, such that their sum is less than

23

.

EASY

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 4 - Linear Inequations>Topic Exercise>Q 20

The sum of three consecutive integers must not be more than

12

. What is the minimum positive integer?

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 4 - Linear Inequations>Topic Exercise>Q 1

Solve the following linear equation for the variable involved and also represent the solution set on the number line.

\frac{1}{4} (2 t - 1) - t < \frac{t}{6} - \frac{1}{3}, \forall t \in R

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 4 - Linear Inequations>Topic Exercise>Q 2

Solve the following inequation and represent the solution set on the number line.

x - 3 - \frac{1}{7} (5 x - 17) > 0, \forall x \in r

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 4 - Linear Inequations>Topic Exercise>Q 3

Solve the inequation

1 - \frac{4}{25} (2 x - 1) < 1, \forall x \in N

and

x < 5

. Also, represent the solution set on the number line.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 4 - Linear Inequations>Topic Exercise>Q 4

Solve the following inequation and represent the solution set on the number line.

- 3 < - \frac{1}{2} - \frac{2 x}{3} \leq \frac{5}{6}, x \in R