Question

X+4>0.2x 3-0.7x>0.3x

Answer 1

X+4>0.2x
3-0.7x>0.3x
x>-5 -относительно х
x<3 -относительно х
х∈(-5; 3)

Answer 2

To solve the given inequalities, let's work on them one by one:

1. $x + 4 > 0.2x$

First, let's isolate the x term on one side of the inequality: $x + 4 - 0.2x > 0$

Now, combine like terms: $0.8x + 4 > 0$

Next, move the constant term to the other side: $0.8x > -4$

Finally, divide both sides by 0.8 (which is the coefficient of x) to solve for x: $x > -4/0.8$

$x > -5$

So, the solution to the first inequality is $x > -5$.

2. $3 - 0.7x > 0.3x$

Let's isolate the x term on one side of the inequality: $3 - 0.7x - 0.3x > 0$

Combine like terms: $3 - 1x > 0$

Now, move the constant term to the other side: $-x > -3$

Remember that when you multiply or divide an inequality by a negative number, the inequality sign flips. Since we need to get x alone on one side, we can multiply both sides by -1 (and remember to flip the inequality sign): $x < 3$

So, the solution to the second inequality is $x < 3$.

To summarize the solutions:

1. $x > -5$
2. $x < 3$