Pre-Algebra Examples

$8 (y + 7) > 8 y + 3$

Step 1

Simplify $8 (y + 7)$ .

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Step 1.1

Rewrite.

$0 + 0 + 8 (y + 7) > 8 y + 3$

Step 1.2

Simplify by adding zeros.

$8 (y + 7) > 8 y + 3$

Step 1.3

Apply the distributive property.

$8 y + 8 \cdot 7 > 8 y + 3$

Step 1.4

Multiply $8$ by $7$ .

$8 y + 56 > 8 y + 3$

Step 2

Move all terms containing $y$ to the left side of the inequality.

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Step 2.1

Subtract $8 y$ from both sides of the inequality.

$8 y + 56 - 8 y > 3$

Step 2.2

Combine the opposite terms in $8 y + 56 - 8 y$ .

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Step 2.2.1

Subtract $8 y$ from $8 y$ .

$0 + 56 > 3$

Step 2.2.2

Add $0$ and $56$ .

$56 > 3$

Step 3

Since $56 > 3$ , the inequality will always be true for any value of $y$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$