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7.2 - 2x ≤ 0.4(5x - 12). Which values are solutions?

A. -4
B. -3
C. 7
D. -5
E. 2
F. 5

User Flurble
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1 Answer

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Final answer:

The inequality 7.2 - 2x ≤ 0.4(5x - 12) simplifies to 3 ≤ x. This means any number greater than or equal to 3 is a solution, which includes options C. 7 and F. 5 from the given choices.

Step-by-step explanation:

To solve the inequality 7.2 - 2x ≤ 0.4(5x - 12), we first need to distribute the 0.4 into the parentheses on the right-hand side, giving us:


7.2 - 2x ≤ 0.4 × 5x - 0.4 × 12

7.2 - 2x ≤ 2x - 4.8

Now, we'll add 2x to both sides to get all the x terms on one side and the constants on the other side:
7.2 ≤ 4x - 4.8

Next, add 4.8 to both sides:
7.2 + 4.8 ≤ 4x

12 ≤ 4x

Divide both sides by 4 to solve for x:


3 ≤ x

This tells us that x is greater than or equal to 3. Looking at the given options, we find that C. 7 and F. 5 are both greater than or equal to 3 and therefore are solutions to the inequality.

User Fowlduck
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