Practise the method.Example 1Find the greatest integer x satisfying 4x+3<−18.Show worked answerAnswer: −6Subtract 3 and divide by 4:x<4−21.The greatest integer below that bound is−6.Example 2Find the smallest integer x satisfying 7−3x≤−11.Show worked answerAnswer: 6Subtract 7divide by−3, reversing the inequality: x≥6.The smallest permitted integer is 6.Example 3Find the greatest integer x satisfying 6x+4<81.Show worked answerAnswer: 12Subtract 4 and divide by 6:x<677.The greatest integer below that bound is 12.