Solve the inequality LaTeX: 5x-6\le2+\left(3x-4\right)5 x − 6 ≤ 2 + ( 3 x − 4 ). Express the solution as an inequality.
1 answer:
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Answer:
1.) 9.9
2.) 15.6
Step-by-step explanation:
1.) Consider triangle AEH
AEH is a right angle triangle as ∠AEH = 90°
AH is the hypotenuse of the triangle.
Applying Pythagorean theorem
substituting values as given in the question:
∴ EH≈9.9
2.) Consider triangle CDF
CDF is a right angle triangle as ∠CDF = 90°
CF is the hypotenuse of the triangle.
Applying Pythagorean theorem
substituting values as given in the question:
∴ DF≈15.6
We need to solve for x
To get x alone we need to remove the denominator 5
To remove denominator 5 we multiply by 5 on both sides
2x = 50
2x means 2 times x
2 is multiplied with x. so to remove 2 we divide by 2
So x= 25