Linear Algebra Examples

$\sqrt{u + 7 - 4} = 3$

Step 1

Set the radicand in $\sqrt{u + 7 - 4}$ greater than or equal to $0$ to find where the expression is defined.

$u + 7 - 4 \geq 0$

Step 2

Solve for $u$ .

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Step 2.1

Subtract $4$ from $7$ .

$u + 3 \geq 0$

Step 2.2

Subtract $3$ from both sides of the inequality.

$u \geq - 3$

Step 3

The domain is all values of $u$ that make the expression defined.

Interval Notation:

$[- 3, \infty)$

Set-Builder Notation:

${u | u \geq - 3}$

Step 4