Writing Inequalities

The sum of a number and 12 is less than 24.

• x + 12 < 24

• 12x < 24

• x + 12 > 24

• 12 - x < 24

The product of a number and 8 is less than or equal to 64.

• $8x\ <\ 64$
  

• 
  

  $8x\ \le\ 64$

• $8\ +\ x\ \le\ 64$

Which symbol means "at most"

• $<$

• $>$

• $\le$

• $\ge$

The product of a number and 4 is less than or equal to 24

• $4x\ \le\ 24$

• $4\ -\ x\ \le\ 24$

• $\frac{4}{x}\le24$

The quotient of x and 7 is greater than 6.

•  $\frac{7}{6}>x$  

•  $\frac{x}{7}>6$  

•  $7x\ >\ 6$  

4x - 3 < 17

• x < 4

• x < 3

• x < 5

• x < 3.5

 $5m\ -\ 3\ \le27$  

•  $m\ \le5$  

•  $m\ \le6$  

•  $m\ \le\ 4.8$  

 $3\left(y\ +\ 2\right)\ \le\ 18$  

•  $y\ \le\ 5\ \frac{1}{3}$  

•  $y\ \le\ 7$  

•  $y\ \le4$  

 $8\left(y-1\right)\ >\ 24$  

•  $y\ >4$  

•  $y\ >\ 2$  

•  $y\ >\ 3$  

3 - 3a < 21

• a > 6

• a > -6

• a < -6

• a < -8