Question

(2x – 5 > 4 - x,7 - 3x < 12 + x;​

Answer 1

Ответ:

x<-9/2 , x>3/2

Объяснение:

2x – 5 > 4 - x,

2x-4x>4+5

-2x>9

2x<-9

x<-9/2

7 - 3x < 12 + x;

-3x-x<12-6

-4x<6

4x>6

x>6/4

x>3/2

Answer 2

Sure, let's solve the given inequalities step by step:

1. $2x - 5 > 4 - x$:

Add $x$ to both sides to isolate the variable $x$: $2x + x - 5 > 4$

Combine the $x$ terms: $3x - 5 > 4$

Add 5 to both sides: $3x > 9$

Now, divide both sides by 3 to solve for $x$: $x > 3$

So, the solution for the first inequality is $x > 3$.

2. $7 - 3x < 12 + x$:

Subtract $x$ from both sides: $7 - 4x < 12$

Subtract 7 from both sides: $-4x < 5$

Divide both sides by -4 (note that when you divide by a negative number, the inequality direction changes): $x > -\frac{5}{4}$

So, the solution for the second inequality is $x > -\frac{5}{4}$.

To summarize:

1. $x > 3$
2. $x > -\frac{5}{4}$

The solution to the system of inequalities is $x > 3$, since this satisfies both inequalities.