alleryStart learning →Which inequality says that a real number x is at most 12?
- x≤12
- x>12
- x<12
- x≥12
Show answer and solution
Correct answer: A. x≤12
At most 12 allows 12 and every smaller value, so the condition is x≤12.
ICSE Class 8 Linear Inequalities — practice questions
Explore 26 free Linear Inequalities questions in ICSE Class 8 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–26 of 26.
Which inequality says that a real number x is at most 12?Read the answer and worked solution →A participant must be at least 15 years old. Which condition represents the allowed age a?Read the answer and worked solution →Which condition permits x=3 but excludes x=4?Read the answer and worked solution →Rewrite 7>x with x on the left, without changing its meaning.Read the answer and worked solution →Which value satisfies 2x+1>7?Read the answer and worked solution →What is the greatest integer satisfying x<2.6?Read the answer and worked solution →For whole numbers x=0,1,2,…, which is the solution set of x≤2?Read the answer and worked solution →For real x>2, which statement about a least solution is correct?Read the answer and worked solution →If a<b and c is real, which comparison must hold after adding c to both sides?Read the answer and worked solution →Multiply an ordered pair by a positive factor: if a<b and c>0, which comparison must hold?Read the answer and worked solution →If a<b, what happens when both sides are multiplied by −3?Read the answer and worked solution →Solve the negative-coefficient inequality −2x>6 for real x.Read the answer and worked solution →For real a,b,c, if a≤b and b<c, which relation must hold?Read the answer and worked solution →Compare sums of ordered pairs: real numbers satisfy a<b and c<d. What must follow?Read the answer and worked solution →On the usual number line, take 3 and every point to its right. Which inequality describes these values?Read the answer and worked solution →Remove the additive constant to solve x+5<9 over the reals.Read the answer and worked solution →Isolate real x by positive scaling in 3x≤12.Read the answer and worked solution →Account for the subtracted variable in 5−x≥8. Which restriction on real x follows?Read the answer and worked solution →Collect variable terms from both sides of 4x+3<6x+7. Which restriction on real x results?Read the answer and worked solution →Clear numerical denominators to solve (x−1)/2≤(x+3)/3 for real x.Read the answer and worked solution →Expand the negative bracket in 3−2(x−1)≥9 and solve for real x.Read the answer and worked solution →Each completed task earns 3 points. What is the fewest tasks needed to earn at least 20 points?Read the answer and worked solution →An order costs ₹20 plus ₹7 per notebook. No other charges. With ₹60, what is the most notebooks one can order?Read the answer and worked solution →Two test scores are 62 and 48. What is the least third whole-number score, out of 100, for an average of at least 60?Read the answer and worked solution →A rectangle is 8 cm long and w cm wide, with w>0. If its perimeter is at most 30 cm, what is its greatest possible width?Read the answer and worked solution →A portion of the number line runs from 2 to 5, including 2 but excluding 5. Which condition describes it?Read the answer and worked solution →
Worked practice questions
A participant must be at least 15 years old. Which condition represents the allowed age a?
- a≤15
- a<15
- a≥15
- a>15
Show answer and solution
Correct answer: C. a≥15
At least 15 includes age 15 and greater ages, giving a≥15.
Which condition permits x=3 but excludes x=4?
- x<4
- x≥4
- x=4
- x≤4
Show answer and solution
Correct answer: A. x<4
The strict condition x<4 includes 3 but excludes the boundary 4. The inclusive upper bound x≤4 would also include 4.
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