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Equations, inequalities and simultaneous models.
Free examples and worked answers. No account needed.
Practise the method.
Equations, inequalities and simultaneous models.
Equations, inequalities and simultaneous models.
Example 1
Find the greatest integer x satisfying 4x+3<−18.
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Answer: −6
- Subtract 3 and divide by 4:x<4−21.
- The greatest integer below that bound is−6.
Example 2
Find the smallest integer x satisfying 7−3x≤−11.
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Answer: 6
- Subtract 7
- divide by−3, reversing the inequality: x≥6.
- The smallest permitted integer is 6.
Example 3
Find the greatest integer x satisfying 6x+4<81.
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Answer: 12
- Subtract 4 and divide by 6:x<677.
- The greatest integer below that bound is 12.
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