Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less
than 140.
Answers
The value of x for which the perimeter of the rectangle is less than 140 is,
x ≤ 33.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
A rectangular shape with sides x + 4 and x.
And the perimeter of the rectangle is less than 140.
That means,
2(2x + 4) ≤ 140
4x + 8 ≤ 140
4x ≤ 140 -8
4x ≤ 132
x ≤ 33
Therefore, the solution of the inequality is x ≤ 33.
To learn more about the inequality;
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