Question

Help with Math PLZ (Questions in screenshot)

Answer 1

1.) Let's say that the circle on the graph below represents x. The arrow is pointing to all the numbers greater than x, which happens to be on -2. If it points right, this means that x can equal to any number greater than -2. So your answer is x > -2.

2.) For inequalities such as these, you can simplify just like what you do for normal equations. Let's isolate x.

$x - 7 > 10$

--> $x > 10 + 7$

---> $x > 17$

3.) $3x \leq 21$

--> $\frac{3x}{3} \leq \frac{21}{3}$

---> $x \leq 7$

4.) $5a - 2 < 18$

--> $5a < 18 + 2$

---> $5a < 20$

----> $\frac{5a}{5} < \frac{20}{5}$

-----> $a < 4$

5.) $2t + 8 \geq -4(t + 1)$

--> $2t + 8 \geq -4t - 4$

---> $2t + 4t \geq -8 - 4$

----> $6t \geq -12$

-----> $t \geq -2$