Question

0,6х+7<х+9 помогите 0,6х-9<х-7

Answer 1

$0.6x + 7 < x + 9 \\ 0.6x - x < 9 - 7 \\ - 0.4x < 2 \\ x > 2 \div ( - 0.4) \\ x > - 5 \\ \\ 0.6x - 9 < x - 7 \\ 0.6x - x < - 7 + 9 \\ - 0.4x < 2 \\ x > - 5$

Answer 2

Sure, I'd be happy to help you solve the inequalities.

1. 0.6x + 7 < x + 9:

To solve this inequality, you need to isolate the variable 'x' on one side of the inequality sign.

Step 1: Move all the terms containing 'x' to one side and the constant terms to the other side: 0.6x - x < 9 - 7

Step 2: Combine like terms: -0.4x < 2

Step 3: Divide both sides by the coefficient of 'x' (which is -0.4). When dividing by a negative number, the inequality sign flips: x > 2 / -0.4

Step 4: Simplify: x > -5

So, the solution to the inequality 0.6x + 7 < x + 9 is x > -5.

2. 0.6x - 9 < x - 7:

Let's solve this inequality using a similar approach:

Step 1: Move all the terms containing 'x' to one side and the constant terms to the other side: 0.6x - x < -7 + 9

Step 2: Combine like terms: -0.4x < 2

Step 3: Divide both sides by the coefficient of 'x' (which is -0.4). When dividing by a negative number, the inequality sign flips: x > 2 / -0.4

Step 4: Simplify: x > -5

So, the solution to the inequality 0.6x - 9 < x - 7 is x > -5.

Both inequalities have the same solution: x > -5.