Question

3x+5<6x+8
4x+3 is <7x+5

Answer 1

The solution to the inequalities 3x + 5 < 6x + 8 and 4x + 3 < 7x + 5 is x > -1 and x > -2/3 respectively

Inequality

Inequality signs are;

• Greater than >
• Less than <
• Equal to =
• Less than equal to ≤
• Greater than equal to ≥

3x + 5 < 6x + 8

• collect like terms

3x - 6x < 8 - 5

-3x < 3

• divide both sides by -3

x > 3/-3

The inequality sign is flipped from < to greater than because of the division with negative value.

x > -1

2. 4x + 3 < 7x + 5

• collect like terms

4x - 7x < 5 - 3

-3x < 2

• divide both sides by -3

The inequality sign is flipped from < to greater than because of the division with negative value.

x > -2/3

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