Question

Which of the following inequalities will match the graph when solved? Select all that apply.

Answer 1

• Option 2: 5+d<8

,

• Option 5: v-18<-15

Step-by-step explanation:

The given graph represents the inequality, x<3 (where x can be any variable).

Therefore, any inequality that has this solution is valid.

• Option 1 has the ,greater than or equal to, sign, thus, it is not a possible result.

,

• Option 3 has the ,less than or equal to, sign, thus, it is not a possible result.

We check the solution to the rest of the given inequality:

`\begin{gathered} Option\; 2\colon5+d<8\implies d<8-5\implies d<3 \\ Option\; 4\colon-7+t<9\implies t<9+7\implies t<16 \\ \text{Option 5: }v-18<-15\implies v<-15+18\implies v<3 \end{gathered}`

Observe that Options 2 and 5 give solutions of the form x<3. Therefore, the correct answers are:

• Option 2: 5+d<8

,

• Option 5: v-18<-15