Solve 3x − 2 > 7 and 2x + 1 < 15 simultaneously, x being a natural number, and write the solution set.
Linear Inequations
Original Khojo Papers practice question — not from a past board paper.
−11/3 ≤ x ≤ 3
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Multiplying by 4 gives −8 ≤ 1 − 3x ≤ 12. Subtracting 1 gives −9 ≤ −3x ≤ 11, and dividing by −3 reverses both inequalities to give −11/3 ≤ x ≤ 3. On the number line both ends are filled circles with the segment between them shaded.
From the same topic and chapter, at a similar level.
Solve 3x − 2 > 7 and 2x + 1 < 15 simultaneously, x being a natural number, and write the solution set.
Linear Inequations
Solve −4 < 2x − 6 ≤ 4 where x is an integer, and write the solution set.
Linear Inequations
Solve 3x − 5 < 7 where x is a natural number, and write the solution set.
Linear Inequations
Solve 5 − 2x ≥ 1 and represent the solution on a number line, x being a real number.
Linear Inequations
Solve 2x + 3 ≥ 9 where x is a whole number, and write the solution set.
Linear Inequations
Solve the inequation (2x − 1)/3 ≤ (x + 2)/2 where x is a real number.
Linear Inequations