30-Day Linear Inequations Practice (ICSE Class 10)
Day 1:
Solve: 3x - 7 < 2x + 5, where x ∈ ℝ (real numbers).
Represent on the number line.
Day 2 (PYQ):
Solve: (5x - 3)/2 ≥ 7, where x ∈ ℤ (integers).
Show integer solutions on the number line.
Day 3 (Double Inequality):
Solve: -3 ≤ 2x - 1 < 5, where x ∈ ℝ (real numbers).
Represent on the number line.
Day 4:
Solve: 4(2x - 3) ≤ 3(3x + 2), where x ∈ 𝕎 (whole numbers).
Day 5 (PYQ):
Solve: (2x + 3)/5 < 4, where x ∈ ℝ (real numbers).
Day 6:
Solve: 6x - 9 > 3x + 6, where x ∈ ℕ (natural numbers).
Plot solutions.
Day 7 (Double Inequality):
Solve: -5 < 2x + 1 ≤ 7, where x ∈ ℤ (integers).
Plot integer solutions.
Day 8 (PYQ):
Solve: -4x + 7 ≤ 2x - 5, where x ∈ ℝ (real numbers).
Day 9:
Solve: (x - 5)/3 ≥ 2 - (x/2), where x ∈ ℝ (real numbers).
Day 10 (Double Inequality):
Solve: 1 ≤ 3x - 2 < 10, where x ∈ ℕ (natural numbers).
Plot solutions.
Day 11:
Solve: 3x + 2 ≤ 4(2x - 3), where x ∈ ℤ (integers).
Day 12:
Solve: 7 - 2x > 3(1 - x), where x ∈ ℝ (real numbers).
Day 13 (PYQ):
Solve: (2x + 5)/4 < x - 1, where x ∈ ℝ (real numbers).
Day 14 (Double Inequality):
Solve: -8 < 5 - 3x ≤ 4, where x ∈ ℤ (integers).
Plot on the number line.
Day 15:
Solve: (4x - 3)/2 ≥ (3x + 5)/3, where x ∈ ℝ (real numbers).
Day 16 (PYQ):
A number is greater than 2 but less than or equal to 9. Represent as a linear inequation, where x ∈ ℕ (natural numbers).
Show on the number line.
Day 17:
Solve: 8 - 3x < 2x + 13, where x ∈ ℝ (real numbers).
Day 18 (PYQ):
Solve: (x + 7)/3 > (2x - 5)/4, where x ∈ ℤ (integers).
Day 19 (Double Inequality):
Solve: -10 ≤ 4x - 6 < 2,where x ∈ ℕ (natural numbers).
Plot.
Day 20:
Solve: 3(2x - 4) ≤ 5x + 1, where x ∈ ℝ (real numbers).
Day 21 (PYQ):
Solve: 7x - 9 ≤ 5x + 3, where x ∈ ℕ (natural numbers).
Show on the number line.
Day 22 (Double Inequality):
Solve: 0 < (2x + 3)/5 ≤ 3, where x ∈ ℝ (real numbers).
Represent.
Day 23:
Solve: (2x - 3)/5 ≥ (x + 4)/3, where x ∈ ℝ (real numbers).
Day 24 (PYQ):
Solve: 9x + 2 > 3(2x + 5), where x ∈ ℤ (integers).
Day 25:
Solve: 3x - 4 ≤ 2(2x + 1), where x ∈ 𝕎 (whole numbers).
Day 26 (Double Inequality):
Solve: -3 ≤ (4x - 1)/2 < 5, where x ∈ ℕ (natural numbers).
Plot.
Day 27 (PYQ):
Solve: -x + 5 > 2x - 4, where x ∈ ℝ (real numbers).
Day 28:
Solve: 2(3x - 2) ≥ 5(x - 3), where x ∈ ℕ (natural numbers).
Represent.
Day 29 (Double Inequality):
Solve: -6 < x + 3 < 9, where x ∈ ℝ (real numbers).
Plot interval.
Day 30 (PYQ):
A number lies between -4 and 6 (inclusive). Represent as a linear inequation, where x ∈ ℤ (integers).
Show on number line.