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3 years ago

Solve the inequality 2x - 3 < x 2 ≤ 3x 5. show your work

2 answers:

8 0

2x − 3 < x + 2 
∴ x − 3 < 2 
∴ x < 5 

x + 2 ≤ 3x + 5 
∴ 2 ≤ 2x + 5 
∴ -3 ≤ 2x 
∴ -3/2 ≤ x 

-3/2 ≤ x < 5

Alexxx [7]3 years ago

3 0

Answer:

-3/2 ≤ x < 5

Step-by-step explanation:

2x - 3 < x + 2 ≤ 3x+5

Solve the inequality separately

2x-3 <x+2 and x+2≤ 3x+5

LEts solve one by one

2x-3 <x+2

Subtract x from both sides

x -3 < 2

add 3 on both sides

x< 5

x+2≤ 3x+5

Subtract 3x from both sides

-2x + 2 ≤ 5

Subtract 2 from both sides

-2x ≤ 3

Divide both sides by -2

x ≥ -3/2

we got x>= -3/2 and x<5

so x lies between -3/2 and 5

-3/2 ≤ x < 5

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2 years ago

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kykrilka [37]

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In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent ( $tan$ ) ratio.