30-2x<17
To solve for x, we need to isolate it on one side of the inequality sign.
First, we'll subtract 30 from both sides:
30 - 2x < 17 - 30
Simplifying:
-2x < -13
Next, we'll divide both sides by -2. Remember that when dividing or multiplying by a negative number, we need to flip the inequality sign:
x > 6.5
So the solution for this inequality is x is greater than 6.5.
15<-4x+18
To solve for x, we need to isolate it on one side of the inequality sign.
First, we'll subtract 18 from both sides:
15 - 18 < -4x
Simplifying:
-3 < -4x
Next, we'll divide both sides by -4. Remember that when dividing or multiplying by a negative number, we need to flip the inequality sign:
3/4 > x
So the solution for this inequality is x is less than 3/4.
8+2x<-x+17
To solve for x, we need to isolate it on one side of the inequality sign.
First, we'll add x to both sides:
8 + 3x < 17
Next, we'll subtract 8 from both sides:
3x < 9
Finally, we'll divide both sides by 3:
x < 3
So the solution for this inequality is x is less than 3.
x^2+9x=-8
To solve this equation, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
First, we need to rearrange the equation into standard quadratic form:
x^2 + 9x + 8 = 0
Now we can identify the values of a, b, and c:
a = 1
b = 9
c = 8
Substituting into the quadratic formula:
x = (-9 ± sqrt(9^2 - 4(1)(8))) / 2(1)
Simplifying:
x = (-9 ± sqrt(49)) / 2
x = (-9 ± 7) / 2
So the two solutions are:
x = -8 or x = -1
You can check that both of these solutions satisfy the original equation.