alleryIf a < b, which relation follows after subtracting 5?
- a - 5 < b - 5
- a - 5 > b - 5
- a - 5 = b - 5
- a - 5 ≥ b - 5
Show answer and solution
Correct answer: A. a - 5 < b - 5
Subtracting the same number from both sides preserves the strict inequality.
ICSE Class 10 Algebra: Equations, Inequations & Matrices — practice questions — page 3
Explore 212 free Algebra: Equations, Inequations & Matrices questions in ICSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 61–90 of 212.
If a < b, which relation follows after subtracting 5?Read the answer and worked solution →Given a ≤ b, multiplying both sides by 4 gives:Read the answer and worked solution →Rewrite 7 < x with x on the left.Read the answer and worked solution →Which interval describes all real x ≤ -2?Read the answer and worked solution →The interval [-1, 3) is equivalent to:Read the answer and worked solution →Which real numbers satisfy both x ≤ 1 and x ≥ 4?Read the answer and worked solution →Over real numbers, 3x + 2 < 3x + 5 is true for:Read the answer and worked solution →The statement 5x + 4 ≤ 5x + 1 holds for:Read the answer and worked solution →How many integers belong to -2 ≤ x < 3?Read the answer and worked solution →Using {0, 1, 2, 3, 4}, solve 1 < 2x ≤ 8.Read the answer and worked solution →Does the real solution set x < 6 have a greatest member?Read the answer and worked solution →Which real x do not satisfy x > 2?Read the answer and worked solution →For integer x, which condition is equivalent to x < 5/2?Read the answer and worked solution →Which bound on real x follows from 4x + 7 ≥ 2x - 5?Read the answer and worked solution →Simplify 7 - 3(x + 2) < 4 for real x.Read the answer and worked solution →Find the real solution of (x + 3)/4 ≤ 2.Read the answer and worked solution →Solve -3 ≤ 5 - 2x < 9 over the reals.Read the answer and worked solution →Which integer set solves 2 ≤ (3x - 1)/2 < 8?Read the answer and worked solution →For real x, solve x/3 - (x - 2)/2 ≥ 1.Read the answer and worked solution →Find all real x satisfying x + 8 > 2x - 1 and 3x ≥ 6.Read the answer and worked solution →Use {1, 3, 5, 7} as replacement set for 2x + 3 ≤ x + 7.Read the answer and worked solution →Entry costs ₹40 plus ₹15 per ride. With ₹160, what is the maximum number of rides?Read the answer and worked solution →A rectangle is 12 cm long with perimeter under 40 cm. Its greatest integer width is:Read the answer and worked solution →Three consecutive integers sum to more than 24. What is the least possible first integer?Read the answer and worked solution →For positive integers n, solve 2n - 1 ≤ 10 and 3n + 2 > 8.Read the answer and worked solution →How many integers satisfy (x - 1)/2 < 3 and x/3 ≥ -1?Read the answer and worked solution →For real x, solve 3(2x - 1)/4 - (x + 2)/3 > (x - 5)/6.Read the answer and worked solution →Find the sum of all integer solutions of -2 < (7 - 3x)/4 ≤ 4.Read the answer and worked solution →Pieces x, x+4 and 2x cm total at most 100 cm. The third is at least 7 cm longer than the second. Find x.Read the answer and worked solution →Plan A costs ₹150 + ₹20 per visit; B costs ₹50 + ₹30 per visit. Least visits making A cheaper?Read the answer and worked solution →
Worked practice questions
Given a ≤ b, multiplying both sides by 4 gives:
- 4a ≥ 4b
- 4a ≤ 4b
- 4a < 4b
- 4a > 4b
Show answer and solution
Correct answer: B. 4a ≤ 4b
Multiplication by the positive number 4 preserves both the direction and possible equality.
Rewrite 7 < x with x on the left.
- x < 7
- x ≥ 7
- x ≤ 7
- x > 7
Show answer and solution
Correct answer: D. x > 7
Saying 7 is less than x is equivalent to saying x is greater than 7.
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