kblueheeler3688 kblueheeler3688
  • 15-04-2022
  • Mathematics
contestada

What is the solution to the inequality x^2 + 2x ≤ 24?
A)
x < 4 or x > –6

B)
–6 ≤ x ≤ 4

C)
–6 < x < 4

D)
x ≤ –6 or x ≥ 4

Respuesta :

Аноним Аноним
  • 15-04-2022

Answer:

B. -6 ≤ x ≤ -4

Step-by-step explanation:

1. Rewrite the inequality in standard form:

x² + 2x - 24 ≤ 0

2. Factor x² + 2x - 24:

(x-4)(x+6) ≤ 0

3. Identify the intervals:

x - 4+4 = 0+4, x + 6-6 = 0-6

x = 4, x = -6

In conclusion:

-6 ≤ x ≤ -4

hope this helps!

Answer Link

Otras preguntas

A doctor is writing a diagnosis of a condition in a patient's chart. The patient, Frank, is complaining of burning and irritation in his lower leg between his c
2. Solve for x:3x - 4 = 20​
In the praise of slacking what Structural elements are missing from the text write one possible counter argument opposing the authors claim that doing less is a
How many milliliters of 0.60 H₂SO₄ are required to neutralize 90 mL of 0.40 NaOH?
is (3,9) a solution of the system
potential energy is the ability to: A) do work B) conduct a current C) hold a charge D) resist a current
large predatory fish are usually found as secondary or tertiary consumer. what does this mean in terms of the amount of energy that is available to them?
Which argumentative statement contains a logical fallacy? A) I simply cannot believe that putting blinds up on our hallway windows will increase students' abi
what means RNA and it shape in the biology
A quantity with an initial value of 800 grows continuously at a rate of per year. What is the value of the quantity after 96 months, to the nearest hundredth?