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Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2x²+2=14

Step 2: Subtract 2 from both sides.

2x²+2 −2  =14 −2

2x²=12

Step 3: Divide both sides by 2.

2x²÷ 2  =12 ÷ ²

x²= 6

Step 4: Take square root.

x= √ 6

x=6 or x=−6

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950