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pickupchik [31]
3 years ago
8

Write an inequality that models the solution for 3x + 4.5 ≤ 5(x - 2)

Mathematics
1 answer:
lara [203]3 years ago
3 0

Answer:

x ≤ 7.25

Step-by-step explanation:

1) 3x + 4.5 ≤ 5(x - 2)

<u>Distribute</u> <em>5</em> through the parenthesis.

2)  3x + 4.5 ≤ 5x - 10

Move the <u>variable</u> to the left side and change it's sign.

3)  3x + 4.5 - 5x ≤ - 10

Move the <u>constant</u> to the right side and change it's sign.

4)  3x - 5x ≤ - 10- 4.5

Subtract the <u>like terms</u>.

5) -2x ≤ -14.5

Divide both sides of the inequality by <em>-2</em>.

6) x ≤ 7.25

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