NumericalModerate3 marks
Solve the following inequation, write down the solution set and represent it on the real number line: -2 + 10x ≤ 13x + 10 < 24 + 10x, x ∈ Z
Topic: Linear inequations
Previous-year question practice database
Answer
Solution diagram
Exam answer
−2 + 10x ≤ 13x + 10 < 24 + 10x.
First: −2+10x ≤ 13x+10 −12 ≤ 3x x ≥ −4.
Second: 13x+10 < 24+10x 3x < 14 x < 14/3.
Since x ∈ Z:
Answer: {−4,−3,−2,−1,0,1,2,3,4}.
Explanation
Solve the two inequalities separately and take the common integer values.
More from Linear Inequations (In one variable)
Solve the following inequation, write the solution set and represent it on the real number line.
−1 < (2x − 3)/3 − x/5 ≤ 1, x ∈ R2026The solution set for 0 < -x/3 < 2, x ∈ Z is:2025Solve the following inequation, write the solution set and represent it on the real number line.
2x - 5/3 < 3x/5 + 10 ≤ 4x/5 + 11; x ∈ R2025Solve the following inequation, write down the solution set and represent it on the real number line.
-3 + x ≤ 7x/2 + 2 < 8 + 2x, x ∈ I.2024Question: The solution set for the inequation 2x + 4 ≤ 14, x ∈ W is :2023Solve the following inequation. Write down the solution set and represent it on the real number line.
-5(x - 9) ≥ 17 - 9x > x + 2, x ∈ R.2023