Question

2x+33-x. 2- x<3x-10.7x-1>x+5.5x+2>3x+10.7x-4

Answer 1

To solve the inequalities, let's break them down step by step:

1. 2x + 33 - x.2 - x < 3x - 10.7x - 1 Simplify the expression on the left side: 2x + 33 - 2x - x < 3x - 10.7x - 1 Combine like terms: 33 - x < -7.7x - 1 Add 7.7x to both sides: 7.7x + 33 - x < -1 Combine like terms: 6.7x + 33 < -1 Subtract 33 from both sides: 6.7x < -34 Divide both sides by 6.7 (remember to flip the inequality since we're dividing by a negative number): x > -34/6.7 x > -5.07 (approximately)

2. x + 5.5x + 2 > 3x + 10.7x - 4 Simplify the expression on the left side: 6.5x + 2 > 13.7x - 4 Subtract 6.5x from both sides: 2 > 7.2x - 4 Add 4 to both sides: 6 > 7.2x Divide both sides by 7.2: 6/7.2 > x 0.833 > x (approximately)

So, the solution to the inequalities is: x > -5.07 and x < 0.833