Solve the Inequality for p 4p+3>=2(2p+1)

$4 p + 3 \geq 2 (2 p + 1)$

Simplify $2 (2 p + 1)$ .

Rewrite.

$4 p + 3 \geq 0 + 0 + 2 (2 p + 1)$

Simplify by adding zeros.

$4 p + 3 \geq 2 (2 p + 1)$

Apply the distributive property.

$4 p + 3 \geq 2 (2 p) + 2 \cdot 1$

Multiply.

Multiply $2$ by $2$ .

$4 p + 3 \geq 4 p + 2 \cdot 1$

Multiply $2$ by $1$ .

$4 p + 3 \geq 4 p + 2$

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

Subtract $4 p$ from both sides of the inequality.

$4 p + 3 - 4 p \geq 2$

Combine the opposite terms in $4 p + 3 - 4 p$ .

Subtract $4 p$ from $4 p$ .

$0 + 3 \geq 2$

Add $0$ and $3$ .

$3 \geq 2$

Since $3 \geq 2$ , the inequality will always be true.

Always true

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$