5 < k -2 < 11 ? -4 > y + 2 > -10 ?
5 -m < 4 or 7m > 35 ?
3 < 2p -3 < 12 ?

Step-by-step explanation:

Given

Required

Solve

Solving (1):

The above can be represented as:

and

Solving

Solving

So, we have:

and

This can be combined as:

Solving (2):

Split as:

and

Solving

Solving

So, we have:

and

This gives

Solving (3):

Solve for m in both cases:

Divide both sides by 5

So, we have:

or

The solution is because

Solving (4):

The above can be represented as:

and

Solving

Add 3 to both sides

Divide both sids by 2

Add 3 to both sides

Solve for p

So, we have:

and

Combined as:

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step-by-step explanation:

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629