Question

The following is an excerpt from a soccer magazine. Read and answer the question The ball should weigh between 410–450 g (14–16 oz), with a circumference of 68–70 cm (27–28 in). The ball's weight must be in the range of 410 to 450 g (14 to 16 oz) and inflated to a pressure of 0.6 and 1.1 bars (8.7 and 16.0 psi) at sea level. Create a compound inequality for the weight using min and max weight values, leave units out, just the numerical answer.

Answer 1

A) 410 ≤ x ≤ 450 AND 68 ≤ y ≤ 70

B) 410 ≤ x ≤ 450 AND 0.6 ≤ x ≤ 1.1

Explanation:

In the first statement we are told that the ball should weigh between 410–450 g (14–16 oz), with a circumference of 68–70 cm (27–28 in).

If the weight is x, it means we have the inequality as;

410 ≤ x ≤ 450

If the circumference is denoted as y, we have;

68 ≤ y ≤ 70

Compound inequality is when we join two inequalities with the word "OR" or the word "AND.

Thus, the compound inequality is;

410 ≤ x ≤ 450 AND 68 ≤ y ≤ 70

Similar to he first statement, in the second statement, we have;

410 ≤ x ≤ 450

If the inflated pressure is denoted by z, then we have;

0.6 ≤ x ≤ 1.1

Like in the first statement, the compound inequality can be represented as;

410 ≤ x ≤ 450 AND 0.6 ≤ x ≤ 1.1