Inequalities

If \( 3x - 5 > 7 \), what is the range of \( x \)?

Solve the inequality \( 2(3x - 4) \leq 10 \).

Which of the following represents the solution set of \( -2x + 7 < 3 \)?

If \( 5x - 3 > 2x + 9 \), find the smallest integer \( x \) that satisfies the inequality.

Solve for \( x \): \( \frac{x-2}{3} + 4 \leq 2x - 1 \).

For which values of \( x \) is the inequality \( |2x - 5| < 7 \) true?

If \( 4x + 3 > 2x + 11 \) and \( x - 5 < 2 \), what is the range of \( x \)?

Solve the compound inequality: \( 2x - 1 \leq 3 \) and \( 5x + 2 > 12 \).

Find the solution set of \( 3 - 2x \geq 7 \) and express it in interval notation.

The sum of two numbers \( x \) and \( y \) is at least 10. If \( x \geq 3 \), what is the minimum value of \( y \)?