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7(x+8)<1437(x+8)<143

Full solution

Q. 7(x+8)<1437(x+8)<143
  1. Distribute and Calculate: First, distribute the 77 into the parentheses: 7×x+7×87 \times x + 7 \times 8.\newlineCalculation: 7x+567x + 56.
  2. Isolate xx Term: Next, we want to isolate the xx term, so subtract 5656 from both sides of the inequality: 7x+5656<143567x + 56 - 56 < 143 - 56.\newlineCalculation: 7x<877x < 87.
  3. Divide and Solve for x: Now, divide both sides by 77 to solve for xx: 7x7<877\frac{7x}{7} < \frac{87}{7}.\newlineCalculation: x<12.4285714286x < 12.4285714286.