24
1 answer:
Answer:
Inequality Form: x ≤ 1
Interval Notation: (−∞, 1]
Step-by-step explanation:
24 ≤ 8 (7 − 4x)
Rewrite so x is on the left side of the inequality.
8 (7 − 4x) ≥ 24
Divide each term by 8 and simplify.
Divide each term in 8 (7 − 4x) ≥ 24 by 8.
8 (7 − 4x)/8 ≥ 24/8
Cancel the common factor of 8.
7 − 4x ≥ 24/ 8
Divide 24 by 8.
7 − 4x ≥ 3
Move all terms not containing x to the right side of the inequality.
−4x ≥ −4
Divide each term by −4 and simplify.
x ≤ 1
The result can be shown in multiple forms.
Inequality Form: x ≤ 1
Interval Notation: (−∞, 1]
You might be interested in
Answer:
x=3
Step-by-step explanation:
Set equations equal to each other:
Subtract two from both sides
Factor out x^2 from the left side
Factor the right side, look for two factors of 9, which add to -6, which is just -3 and-3
So as you can see here, we have both sides in factored form, and both have a factor of (x-3) on both sides, and if one of the factors is zero, then the entire thing becomes zero, since 0 * anything= zero.
this means a solution would be at x=3, since it makes the right side 0 * 0 = 0, and the left side (3)^2 * 0 = 0
It's important to notice this, since had we divided by x-3 to make the equation a quadratic, we would've excluded this real solution, because when dividing by x-3 the solution x=3 makes it 0, so we would've been dividing by zero.
So one of the real solutions is at x=3