Respuesta :
Answer:
[tex]x<-2[/tex]
Step-by-step explanation:
The given inequality is
[tex]-2x-14>-4+3x[/tex]
We need to solve the above inequality.
Step 1: Given inequality.
[tex]-2x-14>-4+3x[/tex]
Step 2: Add 14 on both sides.
[tex]-2x-14+14>-4+3x+14[/tex]
[tex]-2x>10+3x[/tex]
Step 3: Subtract 3x from both sides.
[tex]-2x-3x>10+3x-3x[/tex]
[tex]-5x>10[/tex]
Step 4: Divide both sides by -5. If an inequality is multiplied or divided by a negative number then the sign of inequality will change.
[tex]\frac{-5x}{-5}<\frac{10}{-5}[/tex]
[tex]x<-2[/tex]
Therefore, the solution of given inequality is [tex]x<-2[/tex].
Answer:
[tex]x \in (-\infty, -2)[/tex]
Step-by-step explanation:
We have to find the solution of the given inequality.
[tex]-2x - 14 > -4 + 3x[/tex]
The following steps can be followed to find the solution of the given inequality:
[tex]-2x - 14 > -4 + 3x\\-2x -3x-14 > -4 +3x-3x\\-5x -14 > -4\\-5x -14 +14 > -4 + 14\\-5x > 10\\x < -2\\\text{In interval notation, we can write}\\x \in (-\infty, -2)[/tex]
x < -2 is the solution of the given inequality.
