Solve the inequality
5 + 7r > 11r + 3 - 4r
To solve the inequality, we can combine like terms and simplify both sides:
5 + 7r > 11r + 3 - 4r
Combine like terms with r on the right side:
5 + 7r > 7r + 3
Subtract 7r from both sides:
5 > 3
Since 5 is indeed greater than 3, this statement is true.
Therefore, the solution to the inequality is r can be any real number.
To solve the inequality 5 + 7r > 11r + 3 - 4r, we will combine like terms and isolate the variable on one side of the inequality sign. Here are the steps:
1. Combine like terms on both sides of the inequality:
5 + 7r > 11r + 3 - 4r
Simplifying, we have:
5 + 7r > 7r + 3
2. Subtract 7r from both sides of the inequality to isolate the variable:
5 + 7r - 7r > 7r + 3 - 7r
Simplifying, we have:
5 > 3
3. Since 5 is greater than 3, the inequality is always true. Therefore, the solution to the inequality is all real numbers.
In interval notation, the solution would be (-∞, +∞).
To solve the inequality 5 + 7r > 11r + 3 - 4r, we can follow these steps:
Step 1: Combine like terms on both sides of the inequality.
5 + 7r > 11r + 3 - 4r becomes:
5 + 7r > 7r + 3.
Step 2: Simplify both sides of the inequality.
Since 7r is already on both sides, it cancels out, leaving us with:
5 > 3.
Since 5 is greater than 3, this inequality is always true. Thus, the solution to the inequality is all real numbers for r.