6.7 Inequality Word Problems

6.7 Inequality Word Problems

Multiple Choice

Twice the sum of x and 3 is less than 5

• $$2x+3>5$$

• $$2\left(x+3\right)>5$$

• $$2x+3<5$$

• $$2\left(x+3\right)<5$$

Multiple Choice

Two-thirds of z plus six is greater than 5

• $$\frac{2}{3}\left(z+6\right)>5$$

• $$\frac{2}{3}z+6>5$$

• $$\frac{2}{3}z+6<5$$

• $$\frac{2}{3}\left(z+6\right)<5$$

Multiple Choice

One-fourth multiplied by sum of t and 9 is at most 9.

• $$\frac{1}{4}\left(t+9\right)\le9$$

• $$\frac{1}{4}\left(t+9\right)<9$$

• $$\frac{1}{4}\left(t+9\right)\ge9$$

• $$\frac{1}{4}\left(t+9\right)>9$$

Multiple Choice

Half of 7 added to product of h and 4 is at least 1.

• $$\frac{7}{2}+4h\le1$$

• $$\frac{7}{2}+4h<1$$

• $$\frac{7}{2}+4h\ge1$$

• $$\frac{7}{2}+4h>1$$