Solve {l}{y-5geq-7}{-5-4-3-2-1quad0quad1quad2quad3quad4quad5}

$$\left. \begin{array} { l } { y - 5 \geq - 7 } \\ { - 5 - 4 - 3 - 2 - 1 \quad 0 \quad 1 \quad 2 \quad 3 \quad 4 \quad 5 } \end{array} \right.$$

Solve for y

$$y\geq -16$$

Solution Steps

Subtract 5 from -7 to get -12.

$$y-5\geq -12-4-3-2-1\times 0\times 1\times 2\times 3\times 4\times 5$$

Subtract 4 from -12 to get -16.

$$y-5\geq -16-3-2-1\times 0\times 1\times 2\times 3\times 4\times 5$$

Subtract 3 from -16 to get -19.

$$y-5\geq -19-2-1\times 0\times 1\times 2\times 3\times 4\times 5$$

Subtract 2 from -19 to get -21.

$$y-5\geq -21-1\times 0\times 1\times 2\times 3\times 4\times 5$$

Multiply 1 and 0 to get 0.

$$y-5\geq -21-0\times 1\times 2\times 3\times 4\times 5$$

Multiply 0 and 1 to get 0.

$$y-5\geq -21-0\times 2\times 3\times 4\times 5$$

Multiply 0 and 2 to get 0.

$$y-5\geq -21-0\times 3\times 4\times 5$$

Multiply 0 and 3 to get 0.

$$y-5\geq -21-0\times 4\times 5$$

Multiply 0 and 4 to get 0.

$$y-5\geq -21-0\times 5$$

Multiply 0 and 5 to get 0.

$$y-5\geq -21-0$$

Subtract 0 from -21 to get -21.

$$y-5\geq -21$$

Add 5 to both sides.

$$y\geq -21+5$$

Add -21 and 5 to get -16.

$$y\geq -16$$