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I need help i don’t understand , ayudennmeee pls

I need help i don’t understand , ayudennmeee pls-example-1
User Teu
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  • The first inequality, 1/2 * r + 3 < 7/4, has the solution r < -1/2.
  • The second inequality, -r + 3/4 <= 3/8, has the solution r >= 3/4.

Therefore, the only value of r that satisfies both inequalities is r >= 3/4.

We analyzed two inequalities involving r. By isolating r, manipulating equations, and simplifying, we found that the first inequality is satisfied when r is less than -1/2. The second inequality is satisfied when r is greater than or equal to 3/4. The only value of r that fulfills both conditions is r >= 3/4.

Solving the Inequalities:

1/2 * r + 3 < 7/4

1. Isolate r: Subtract 3 from both sides:

1/2 * r < 7/4 - 3

2. Multiply both sides by 2:

r < 7/2 - 3

3. Combine like terms:

r < -1/2

-r + 3/4 <= 3/8

1. Add r to both sides:

3/4 <= r + 3/4

2. Simplify:

3/4 <= r

User Gurjinder Singh
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