Question

Indicate whether each value will make the inequality 15<3x true. Drag True or False to the appropriate values: 5.6,5,3,6,7 3/4,4.5.

Answer 1

So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.

Explanation:

For the inequality 15 < 3x to be true, 3x must be greater than 15. To determine whether each value will make the inequality true, we can substitute each value for x and see if the inequality holds.

For x = 5.6, 3x = 16.8, which is greater than 15, so the inequality is true and the value 5.6 makes the inequality true.

For x = 5, 3x = 15, which is equal to 15, so the inequality is false and the value 5 does not make the inequality true.

For x = 3, 3x = 9, which is less than 15, so the inequality is false and the value 3 does not make the inequality true.

For x = 6, 3x = 18, which is greater than 15, so the inequality is true and the value 6 makes the inequality true.

For x = 7, 3x = 21, which is greater than 15, so the inequality is true and the value 7 makes the inequality true.

For x = 3/4, 3x = 2.25, which is less than 15, so the inequality is false and the value 3/4 does not make the inequality true.

For x = 4.5, 3x = 13.5, which is less than 15, so the inequality is false and the value 4.5 does not make the inequality true.

So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.